1234 Followers. A problem for "1234"

If the total number of \(8\)-digit positive integers that can be formed using the digits \(0\) to \( 9\) inclusive and without repetition. such that \(\overline{1234}\) always exist collectively in the same order in the positive integer is \(P\).

We coin the term: Cute divisors. A cute divisor of a number \(n\) is a positive integer other than \(1\) and \(n\) which divide the number \(n\) completely and leaves no remainder.

Find the sum of all cute divisors of \(P\).

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