Project Euler
Problem 32: Pandigital Products

We shall say that an n -digit number is pandigital if it makes use of all the digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through 5 pandigital.

The product 7254 is unusual, as the identity, 39 × 186 = 7254 , containing multiplicand, multiplier, and product is 1 through 9 pandigital.

Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.

HINT: Some products can be obtained in more than one way so be sure to only include it once in your sum.


I made a bunch of helper functions to do things like compare the digits of numbers and check if a number had a zero in it. Other than that I figured out a rough range of numbers to iterate through and checked them all.

69,644