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A proper divisor of a positive integer $n$ is a positive integer $d < n$ such that $d$ divides $n$ evenly, or alternatively if $n$ is a multiple of $d$. For example, the proper divisors of 12 are 1, 2, 3, 4, and 6, but not 12. A positive integer $n$ is called double-perfect if the sum of its proper divisors equals $2n$. For example, 120 is double-perfect (and in fact is the smallest double-perfect number) because its proper divisors are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, and 60, and their sum is 240, which is twice 120. There is only one other 3-digit double-perfect number. Write a Python program to find it, and enter the number as your answer below.

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