Mine is an AMD Dual-core his is an Intel Dual-core. Although I have higher clocks, he's got me beat on the Super PI by 9 seconds (1M test; the standard). Do you know if this has to do with the small cache?
It is very cache depedant, and has nothing to do with memory bandwidth.
SuperPI is known as one of the worst benchmarks in existance, ahead of 3DMark06, so don't worry about it.