Why do i have no memory on my iPhone?

So I have an iPhone 4 with 6gb of memory. I have about 40 pictures, 4 apps, and no music. Yet I still have "no storage". I noticed that when I go to the App Store and click on an app I recently had, it says install. Like it's already downloaded. And when I hook my phone up to iTunes most of the storage is taken up by "other". Do you guys know how I could clear those old downloaded apps off my phone? Also, do you have any idea what this "other" storage is?

The "other" storage is most likely the operating system because it also takes up memory in order to have the software put inside the phone. The amount of memory in your iPhone sounds about right. Hope this helped.

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