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Say you have three integers between 0-9. You have the equation: A! +B! +C! = ABC (where ABC is a three digit number, not A*B*C). Find A, B, and C that satisfies this equation.

145 = 1! + 4! + 5!
145 = 1! + 4! + 5!, making it a factorion. The only other numbers that have the property that they are the sum of the factorials of their digits are 1, 2 and 40585.
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