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.

Triple loops (A 1..9, B 0..9, C 0..9) gives three solutions: 133, 315, and 803 (less than 0.01 second exec time). 

 

Posted by ed bottemiller on 2009-06-22 18:08:34