Number that equals the sum of factorials of its digits:
145 = 1! + 4! + 5! = 1 + 24 + 120
Implementation:
fact n iterative factorial
digit_fact_sum n walk digits, sum fact(digit)
euler34 limit scan 3..limit, accumulate matches
The only other factorion is 40585 = 4!+0!+5!+8!+5!. Real PE34 sums
both (= 40730); 2000 keeps under our search budget.
121 baseline programs total.