Find the sum of all 3-digit numbers $\overline{abc}$ such that

$\overline{abc}=abc(a+b+c).$

If you think there are no such numbers, submit $-1$ as the answer.

The answer is 279.

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using the code below, we can find the two numbers that satisfy this condition are 135 and 144, the sum of which is our answer, 279.