Digital Factorial!

Number Theory Level 3

Find a 3-digit integer which is can be expressed as the sum of factorial of its digits.

ABC‾=A!+B!+C! \overline{ABC} = A! + B! + C!


Notation: !! is the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 .

Adarsh Shetty by Adarsh Shetty
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