bit late to the party but I'll add my two cents

I have an i5 3470 as well, not OC'd, and with the stock cooler it would never hit it's turbo freq (3.6GHz). I picked up a Cooler Master Hyper 212 EVO for not very much and it works a charm

Not sure where you're based so I'll put a couple of Amazon links to it

Also note that this cooler is BIG, so you'd have to do some measurements on your case to see if it fits. (it fits mine well, mines a Zalman Z11 so if you have that you'll be fine

)
US:
http://www.amazon.com/Cooler-Master-Hyper-212-RR-212E-20PK-R2/dp/B005O65JXI/ref=sr_1_1?ie=UTF8&qid=1401877681&sr=8-1&keywords=cooler+master+hyper+212+evo
UK...