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Number Theory

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Moderate

Finding Non-Multiplicative Functions I

NUMTH-UY7GT2

Denote by $\omega(n)$ the number of distinct prime divisors of $n$ and $\Omega(n)$ the number of distinct prime power divisors of $n$.

Which of the following functions are not multiplicative?

Select ALL that apply.

A

$f(n)=2^{\omega(n)}$.

B

$f(n)=\omega(n)$.

C

$f(n)=3^{\Omega(n)}$.

D

$f(n)=\Omega(n)$.