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It is not possible to answer the question.

There are infinitely many ways to express 740 as a sum of 2 numbers, an infinite number of ways to express it as a sum of 3 numbers, 4 numbers, ... , infinitely many numbers.

And the same can be said for multiples of 2, 3, ... numbers.

But you cannot write an infinite number of expressions.

Perhaps you can start with

370+370, 371+369, 372+368, ... 740+0, 741-1, 742-2 and see how far you get in an hour. Then make a guess at your life expectancy and how many hours per day you are prepared to dedicate to this task. That will give you a maximum number of ways. It will be a maximum because you will slow down as the numbers get bigger and you have to write integers with tens of digits (I doubt that you will get that far).

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Q: How many ways can i write 740?
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