If this is an electric range, double check your voltage at the receptacle. It should read 220-240VAC. It sounds like you could be missing one leg of the 220 service. This means, you may only have 110-120VAC coming from your receptacle. The clock will still work because it only uses 110-120 VAC to operate. The burners, however, require the full 220 service to operate. The following link explains how the receptacle should be wired and the voltage requirements:

http://www.fixya.com/support/r793520-3_prong_4_prong_power_cord_conversion

I know the link is for converting power cords, but it gives the information of how the receptacles are wired and the color codes for the wiring. The two "HOT" leads at the receptacle are the larger slots. A reading across these two slots (RED and BLACK wires) should read your source voltage.

I hope this may help you. If your range is NOT electric, please post back and let me know, so I can assist you further.