Ramanujan got convoluted

Let \(\mu\) and \(\phi\) be two number theoretic functions. Then

evaluate \[(\mu * \phi) (1729)\]


Notations :-

\(\phi\) denotes Euler's Totient function.

\(\mu\) denotes Möbius function.

\(*\) denotes Dirichlet's convolution of two arithmetic functions.

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