You Do Need power plug adapter while traveling from Nauru to Aruba.

Here is Why You Need An Adapter

The outlet and plug type used in Aruba are A, B and F and in Nauru is I. This is how they look like.

Nauru

In Nauru, outlets of type I are in use.

Type I

Aruba

In Aruba, outlets of type A, B and F are in use.

Type A

Type B

Type F