Watt's Law. A 1600 watt heater pulls over 13 amps at 120 volts, but less than 8 amps at 240. Amps x Volts = Watts.
The current requirements is double, but the heat generated at the plug is:
P=I^2xR
Where R is the plug resistance. So with double the current you end up with 4x the heat at the plug.