The file you installed is the correct file. The Patch is being collectively referred to as 5344, however the actual number of the patch appears to vary depending on which version of Magento you download it for. 1.7 is 5345, 1.6.1 is 5346, 1.6.x is 5341 etc.
I'm not sure why they did that for this patch, and yet keep the number consistent for 1533. Probably down to different employees with different opinions.
So long as you download the version matching your stores version, the patch appears in the app/etc/applied.patches file and you don't see any errors about the patch not applying when running, you should be good.