The Honda GX390 has a bit of an odd rating system. As a general rule, an overhead valve 340cc, 3600RPM engine is equal to 11HP, or about 31cc per HP. (more modern flathead engines are generally about 33cc per HP)
I've seen GX390's with ratings from 11 to 13HP, all at 3600RPM. My guess, there is no real world difference in output.