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%I #23 May 05 2023 08:20:49
%S 5184,11664,40000,153664,250000,455625,937024,1265625,1750329,1827904,
%T 1882384,5345344,8340544,9529569,10673289,17909824,20820969,28344976,
%U 37515625,45265984,59105344,60886809,73530625,77228944,95004009,119946304,143496441,180848704
%N Numbers with 35 divisors.
%C Numbers of the form p^34 and p^6*q^4 (A190464), where p and q are distinct primes.
%H T. D. Noe, <a href="/A175745/b175745.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)) = 35.
%F Sum_{n>=1} 1/a(n) = P(4)*P(6) - P(10) + P(34) = 0.000320676..., where P is the prime zeta function. - _Amiram Eldar_, Jul 03 2022
%t Select[Range[9000000],DivisorSigma[0,#]==35&] (* _Vladimir Joseph Stephan Orlovsky_, May 06 2011 *)
%o (PARI) is(n)=numdiv(n)==35 \\ _Charles R Greathouse IV_, Jun 19 2016
%Y Cf. A000005, A175742, A175743, A175744.
%K nonn
%O 1,1
%A _Jaroslav Krizek_, Aug 27 2010
%E Extended by _T. D. Noe_, May 08 2011