This digital camera supports an SD|SDHC|SDXC memory card, which is typical of many cameras of a similar age and type to it. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
There are a number of alternative cameras that support an SD|SDHC|SDXC memory currently available that you might also want to consider including because of it's better review score, the FinePix F660[pl_1409997_price], or the FinePix F660[pl_1409997_price] both from Fujifilm.
If the memory card type of this Olympus digital camera is too bad for you then you might also want to consider the Sony DSC-H70[plb_580917_price] (MS Duo|MS PRO Duo|MS Pro-HG|SD|SDHC|SDXC) which also has a higher rating.