%I #10 Nov 16 2015 07:43:41
%S 1,24,30,40,42,54,56,66,70,78,88,102,104,105,110,114,128,130,135,136,
%T 138,152,154,165,170,174,182,184,186,189,190,195,222,230,231,232,238,
%U 246,248,250,255,258,266,273,282,285,286,290,296,297
%N Numbers which are the cube roots of the product of their proper divisors.
%C This sequence is actually the sequence of 4-multiplicatively perfect numbers all of whose elements (>1) have prime signature {7}, {1,3} or {1,1,1}.
%H Harvey P. Dale, <a href="/A111398/b111398.txt">Table of n, a(n) for n = 1..1000</a>
%F 1 together with numbers with 8 divisors. - _Vladeta Jovovic_, Nov 12 2005
%t Select[Range[300],Surd[Times@@Most[Divisors[#]],3]==#&] (* _Harvey P. Dale_, Nov 16 2015 *)
%o (PARI) isok(n) = {prd = 1; fordiv(n, d, prd = prd*d); prd == n^4;} \\ _Michel Marcus_, Oct 04 2013
%Y Cf. A048945, A111399. Essentially the same as A030626.
%Y Cf. A030626, A007956.
%K nonn
%O 1,2
%A _Ant King_, Nov 11 2005
%E More terms from _Michel Marcus_, Oct 04 2013