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A BTU is about 1055 joules. A kilowatt is 1000 joules/second, so it is 3,600,000 joules/hour. Dividing that by 1055 joules gives you the equivalent of about 3400 BTU/hour.
There is no such thing as a "kilowatt per hour". Kilowatt is a unit of power, not of energy. A unit of energy is kilowatt-hour. That's kilowatt times hours, not "per" hour ("per" implies division, not multiplication). If a generator produces 10 kilowatts, that means it produces 10 kilowatt-hours every hour.
These units do not have a direct relationship. Imagine kilowatt hours as the equivalent of work done, and megawatts (or kilowatts) as the equivalent of effort.To answer your question: 1 megawatt 'produces' 1000 kilowatts per hour.
Watt means joule/second, kW (kilowatt) means kilojoule/second, i.e., thousands of joules per second.
1kW is 3,412.13 BTU/hr