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| Multiply Sum and Sum of Squares (Posted on 2009-06-22) |
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Determine all possible values of a 3-digit non leading zeroes positive decimal integer N, such that N is obtained by multiplying its sum of the digits with the sum of squares of its digits.
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Submitted by K Sengupta
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Solution:
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133, 315 and 803 are the only possible values that N can assume.
For an explanation, refer to the solution submitted by Daniel in this location.
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Ed Bottemiller has extended the given conditions, citing 1148, 1547, and 2196 as the corresponding solutions for the 4-digit case.
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