# A number theory problem by Ilham Saiful Fauzi

Number Theory Level pending

Find the sum of all three-digit integers $$n=\overline{abc}$$ such that $$2n=3a!b!c!$$.

Notation: $$!$$ is the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

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