# Declining to insanity in 2017!

Algebra Level 5

$\large{405f(x) = \sqrt[x]{\sum_{k=1}^{2017}\sum_{i=1}^{3}{k^i}}}$ Find the smallest positive integer $${C}$$ such that $$\left \lfloor {f\left(\frac{10}{7}\right)}\right \rceil$$ $$+C$$ is a palindrome.


Notation: $$\lfloor \cdot \rceil$$ denotes the nearest integer function.

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