Generators are rated at kva, which is a bigger number than KW, so looks better written on the side of the generator. Generators usually have a power factor of 0.8. They also hate going to maximum power when cold.
If you are simply using it to run a heater, you would be far far better off running a Chinese diesel heater made for RV's. About 3 hundy and will produce 3-5kw of heat all night long for a couple of litres of diesel burnt
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