# 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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