N is a positive base ten integer having at least 2-digits but at most 4-digits, which is obtained by multiplying the sum of its digits with the product of its digits. It is known that N cannot contain any leading zero.

Determine all possible value(s) of N.

(In reply to No Subject by ed bottemiller)

The key is in looking for the antecedent of "its" in "its digits".  That's the number N itself.

Posted by Charlie on 2010-06-21 23:20:08