How much memory will this PHP Script need?

How much memory will this PHP Script need?

I'm trying to use a WordPress Plugin to backup my database and files but
it keeps running out of memory. How much memory will this script need to
finish and how much should I ask for from my hosting provider? Here is the
log output: (the script has 3 minutes to run before my hosting provider
kills it but that is more than enough) [INFO] BackWPup version 3.0.13;
WordPress version 3.6; A project of Inpsyde GmbH developed by Daniel
Hüsken [INFO] This program comes with ABSOLUTELY NO WARRANTY. This is free
software, and you are welcome to redistribute it under certain conditions.
[INFO] Blog url: http://www.nsuchy.tk/ [INFO] BackWPup job: Back It Up
Before It Is Too Late; DBDUMP+FILE [INFO] BackWPup cron: 0 3 * * *; Sun,
18 Aug 2013 @ 20:15 [INFO] BackWPup job started manually [INFO] PHP ver.:
5.3.27-nfsn1; apache2handler; FreeBSD [INFO] Maximum script execution time
is 180 seconds [INFO] MySQL ver.: 5.3.12-MariaDB [INFO] curl ver.: 7.31.0;
OpenSSL/1.0.1e [INFO] Temp folder is:
/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/ [INFO] Logfile
folder is: /f5/nsuchy/public/wp-content/uploads/backwpup-eb255-logs/
[INFO] Backup type is: archive [INFO] Backup file is:
/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/backwpup_24fe7a_2013-08-18_20-15-56.tar.gz
[18-Aug-2013 20:15:56] 1. Try to dump database … [18-Aug-2013 20:15:56]
Connected to database nsuchy on nsuchy.db [18-Aug-2013 20:15:56] Dump
database table "sendmail_lordlinus" [18-Aug-2013 20:15:57] Dump database
table "wp_commentmeta" [18-Aug-2013 20:15:57] Dump database table
"wp_comments" [18-Aug-2013 20:15:57] Dump database table "wp_links"
[18-Aug-2013 20:15:57] Dump database table "wp_options" [18-Aug-2013
20:15:57] Dump database table "wp_postmeta" [18-Aug-2013 20:15:57] Dump
database table "wp_posts" [18-Aug-2013 20:15:57] Dump database table
"wp_term_relationships" [18-Aug-2013 20:15:57] Dump database table
"wp_term_taxonomy" [18-Aug-2013 20:15:57] Dump database table "wp_terms"
[18-Aug-2013 20:15:57] Dump database table "wp_usermeta" [18-Aug-2013
20:15:57] Dump database table "wp_users" [18-Aug-2013 20:15:57] Dump
database table "wp_wfBadLeechers" [18-Aug-2013 20:15:57] Dump database
table "wp_wfBlocks" [18-Aug-2013 20:15:57] Dump database table
"wp_wfBlocksAdv" [18-Aug-2013 20:15:57] Dump database table "wp_wfConfig"
[18-Aug-2013 20:15:57] Dump database table "wp_wfCrawlers" [18-Aug-2013
20:15:57] Dump database table "wp_wfFileMods" [18-Aug-2013 20:15:57] Dump
database table "wp_wfHits" [18-Aug-2013 20:15:57] Dump database table
"wp_wfHoover" [18-Aug-2013 20:15:57] Dump database table "wp_wfIssues"
[18-Aug-2013 20:15:57] Dump database table "wp_wfLeechers" [18-Aug-2013
20:15:57] Dump database table "wp_wfLockedOut" [18-Aug-2013 20:15:57] Dump
database table "wp_wfLocs" [18-Aug-2013 20:15:57] Dump database table
"wp_wfLogins" [18-Aug-2013 20:15:57] Dump database table "wp_wfNet404s"
[18-Aug-2013 20:15:57] Dump database table "wp_wfReverseCache"
[18-Aug-2013 20:15:57] Dump database table "wp_wfScanners" [18-Aug-2013
20:15:57] Dump database table "wp_wfStatus" [18-Aug-2013 20:15:57] Dump
database table "wp_wfThrottleLog" [18-Aug-2013 20:15:57] Dump database
table "wp_wfVulnScanners" [18-Aug-2013 20:15:57] Added database dump
"nsuchy.sql.gz" with 294.56 kB to backup file list [18-Aug-2013 20:15:57]
Database dump done! [18-Aug-2013 20:15:57] 1. Trying to make a list of
folders to back up … [18-Aug-2013 20:16:03] 501 folders to back up.
[18-Aug-2013 20:16:03] 1. Trying to create backup archive … [18-Aug-2013
20:16:03] Compression method is TarGz [18-Aug-2013 20:16:40] Backup
archive created. [18-Aug-2013 20:16:40] Archive size is 23.65 MB.
[18-Aug-2013 20:16:40] 3910 Files with 49.24 MB in Archive. [18-Aug-2013
20:16:40] 1. Trying to send backup with e-mail… [18-Aug-2013 20:16:40]
Sending e-mail to theusernameiwantistaken@gmail.com… [18-Aug-2013
20:16:40] WARNING: fopen() [function.fopen]: SAFE MODE Restriction in
effect. The script whose uid/gid is 219666/219666 is not allowed to access
/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/521163e8dbb11
owned by uid/gid 25000/25000 [18-Aug-2013 20:16:40] WARNING:
fopen(/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/521163e8dbb11/body)
[function.fopen]: failed to open stream: No such file or directory
[18-Aug-2013 20:16:40] WARNING: fseek() expects parameter 1 to be
resource, boolean given [18-Aug-2013 20:16:40] WARNING: fwrite() expects
parameter 1 to be resource, boolean given [18-Aug-2013 20:16:40] WARNING:
fclose() expects parameter 1 to be resource, boolean given [18-Aug-2013
19:16:41 America/Chicago] PHP Fatal error: Allowed memory size of 33554432
bytes exhausted (tried to allocate 3407873 bytes) in
/f5/nsuchy/public/wp-content/plugins/backwpup/sdk/SwiftMailer/classes/Swift/Mime/SimpleMimeEntity.php
on line 706 [18-Aug-2013 20:16:41] ERROR: Allowed memory size of 33554432
bytes exhausted (tried to allocate 3407873 bytes) [18-Aug-2013 20:16:41]
Script stopped! Will start again. [18-Aug-2013 20:16:41] 2. Trying to send
backup with e-mail… [18-Aug-2013 20:16:41] Sending e-mail to
theusernameiwantistaken@gmail.com… [18-Aug-2013 20:16:42] WARNING: fopen()
[function.fopen]: SAFE MODE Restriction in effect. The script whose
uid/gid is 219666/219666 is not allowed to access
/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/521163e9f41b5
owned by uid/gid 25000/25000 [18-Aug-2013 20:16:42] WARNING:
fopen(/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/521163e9f41b5/body)
[function.fopen]: failed to open stream: No such file or directory
[18-Aug-2013 20:16:42] WARNING: fseek() expects parameter 1 to be
resource, boolean given [18-Aug-2013 20:16:42] WARNING: fwrite() expects
parameter 1 to be resource, boolean given [18-Aug-2013 20:16:42] WARNING:
fclose() expects parameter 1 to be resource, boolean given [18-Aug-2013
19:16:42 America/Chicago] PHP Fatal error: Allowed memory size of 33554432
bytes exhausted (tried to allocate 3932161 bytes) in
/f5/nsuchy/public/wp-content/plugins/backwpup/sdk/SwiftMailer/classes/Swift/Mime/SimpleMimeEntity.php
on line 706 [18-Aug-2013 20:16:42] ERROR: Allowed memory size of 33554432
bytes exhausted (tried to allocate 3932161 bytes) [18-Aug-2013 20:16:42]
Script stopped! Will start again. [18-Aug-2013 20:16:43] 3. Trying to send
backup with e-mail… [18-Aug-2013 20:16:43] Sending e-mail to
theusernameiwantistaken@gmail.com… [18-Aug-2013 20:16:43] WARNING: fopen()
[function.fopen]: SAFE MODE Restriction in effect. The script whose
uid/gid is 219666/219666 is not allowed to access
/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/521163eb57dbc
owned by uid/gid 25000/25000 [18-Aug-2013 20:16:43] WARNING:
fopen(/f5/nsuchy/public/wp-content/uploads/backwpup-ee3f5-temp/521163eb57dbc/body)
[function.fopen]: failed to open stream: No such file or directory
[18-Aug-2013 20:16:43] WARNING: fseek() expects parameter 1 to be
resource, boolean given [18-Aug-2013 20:16:43] WARNING: fwrite() expects
parameter 1 to be resource, boolean given [18-Aug-2013 20:16:43] WARNING:
fclose() expects parameter 1 to be resource, boolean given [18-Aug-2013
19:16:43 America/Chicago] PHP Fatal error: Allowed memory size of 33554432
bytes exhausted (tried to allocate 3932161 bytes) in
/f5/nsuchy/public/wp-content/plugins/backwpup/sdk/SwiftMailer/classes/Swift/Mime/SimpleMimeEntity.php
on line 706 [18-Aug-2013 20:16:43] ERROR: Allowed memory size of 33554432
bytes exhausted (tried to allocate 3932161 bytes) [18-Aug-2013 20:16:43]
Script stopped! Will start again. [18-Aug-2013 20:16:44] Job has ended
with errors in 48 seconds. You must resolve the errors for correct
execution.