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Problem 34

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Digit factorials

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.

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各位数字的阶乘

145是个有趣的数，因为1! + 4! + 5! = 1 + 24 + 120 = 145。

找出所有各位数字的阶乘和等于其本身的数，并求它们的和。

注意：因为1! = 1和2! = 2不是和的形式，所以它们并不在讨论范围内。

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