a(n) is the smallest integer that has exactly n divisors from A333369.

Terms

a(0) =1a(1) =3a(2) =9a(3) =15a(4) =45a(5) =105a(6) =195a(7) =315a(8) =945a(9) =900a(10) =1575a(11) =2100a(12) =3900a(13) =6825a(14) =11655a(15) =10500a(16) =6300a(17) =18900a(18) =25200a(19) =35100a(20) =27300a(21) =31500a(22) =44100a(23) =94500a(24) =157500a(25) =107100a(26) =81900a(27) =233100a(28) =220500a(29) =598500