What I saw on the web on 2022.10.29
Oct. 30th, 2022 06:15 am- Smallest number with same prime signature as n.
by N.J.A.Sloane
https://oeis.org/A046523
the summatory function seems to grow as n × √ (2n) ? at least for n up to 3000....
via googling around, cuz i was curious