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A positive integer m is created so that its digit sum is 900 and when m...

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Electrical Engineering

A positive integer m is created so that its digit sum is 900 andwhen m is doubled, its digit sum does not change. The digits of minclude at least one of each of 3, 4, 5, and 6, and no otherdigits. Let m+ be the maximum such value of m, let m− be theminimum such value of m, and let P be the result of m+ × m−.Determine the number of digits of P .

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