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Digit factorials

Problem 34

Published on Friday, 3rd January 2003, 06:00 pm; Solved by 49424

145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.

Find the sum of all numbers which are equal to the sum of the factorial of their digits.

Note: as 1! = 1 and 2! = 2 are not sums they are not included.