# More on $$\phi$$ in 2016

Find the minimum value of $$k$$ that makes $$y$$ an integer.

$\large{y= \log_{\phi(30^3)}\left(30^k \prod_{d \mid 30^3}\phi(d)\right)}$

Notation: $$\phi(x)$$ denotes the Euler totient function.

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