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n is divisible by the square of the number of unitary divisors of n (A034444).
2

%I #7 Aug 05 2019 17:21:52

%S 1,4,8,16,32,48,64,80,96,112,128,144,160,176,192,208,224,256,272,288,

%T 304,320,352,368,384,400,416,432,448,464,496,512,544,576,592,608,640,

%U 656,688,704,736,752,768,784,800,832,848,864,896,928,944,960,976,992

%N n is divisible by the square of the number of unitary divisors of n (A034444).

%H Amiram Eldar, <a href="/A048168/b048168.txt">Table of n, a(n) for n = 1..10000</a>

%e x=2032=16*127 has 4 unitary divisors: {1,16,127,2032} and ud[ x ]^2=16 divides 2032.

%t Select[Range[10^3], Divisible[#, 4^PrimeNu[#]] &] (* _Amiram Eldar_, Aug 05 2019 *)

%Y A034444, A046754, A048166.

%K nonn

%O 1,2

%A _Labos Elemer_