# Number Theory In Complex Number Set

**Number Theory**Level 5

Find the sum of all integers \(n\) for which there are integers \(a\) and \(b\) such that:

\[\large (a + bi)^4 = n + 2016i\]

**Clarification**: \(i=\sqrt{-1}\).

Find the sum of all integers \(n\) for which there are integers \(a\) and \(b\) such that:

\[\large (a + bi)^4 = n + 2016i\]

**Clarification**: \(i=\sqrt{-1}\).

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