# A fabulous number

Number Theory Level 4

Let $$n$$ be an integer greater than $$1$$. The positive divisors of $$n$$ are $${ d }_{ 1 },{ d }_{ 2 },\ldots,{ d }_{ k }$$, in which $$1={ d }_{ 1 }<{ d }_{ 2 }<\ldots<{ d }_{ k }=n$$. If $$n$$ satisfies $$n={ d }_{ 2 }^{ 2 }+{ d }_{ 3 }^{ 3 }$$, what is the sum of all the possible values of $$n$$?

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