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.

I used the following code

CLS 0
FOR d1 = 1 TO 9
 FOR d2 = 0 TO 9
  FOR d3 = 0 TO 9
   n = d3 + 10 * d2 + 100 * d1
   s1 = d1 + d2 + d3
   s2 = d1 ^ 2 + d2 ^ 2 + d3 ^ 2
   IF n = s1 * s2 THEN
    PRINT n, s1, s2
   END IF
  NEXT d3
 NEXT d2
NEXT d1

and got the following answers

 133=7*19
 315=9*35
 803=11*73

Posted by Daniel on 2009-06-22 12:42:06