# Curious Number

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 that are less than 1 million.

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

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