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Numbers with 34 divisors.
5

%I #18 May 04 2018 08:51:03

%S 196608,327680,458752,720896,851968,1114112,1245184,1507328,1900544,

%T 2031616,2424832,2686976,2818048,3080192,3473408,3866624,3997696,

%U 4390912,4653056,4784128,5177344,5439488,5832704,6356992,6619136,6750208,7012352,7143424,7405568

%N Numbers with 34 divisors.

%C Numbers of the form p^33 and p^16*q^1, where p and q are distinct primes.

%H T. D. Noe, <a href="/A175744/b175744.txt">Table of n, a(n) for n = 1..1000</a>

%H OEIS Wiki, <a href="https://oeis.org/wiki/Index_entries_for_number_of_divisors">Index entries for number of divisors</a>

%F A000005(a(n))=34.

%t Select[Range[6000000],DivisorSigma[0,#]==34&] (* _Vladimir Joseph Stephan Orlovsky_, May 06 2011 *)

%o (PARI) is(n)=numdiv(n)==34 \\ _Charles R Greathouse IV_, Jun 19 2016

%Y Cf. A175742, A175743.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Aug 27 2010