3073593600

Appears in sequences

• Sets record for f(n) = |{(a,b):a*b=n and a|b}|. Also squares of highly composite numbers A002182.at n=27A046952
• Smallest square divisible by n!.at n=11A065886
• Square numbers with more divisors than any smaller square number.at n=23A136404
• Duplicate of A136404.at n=23A176471
• G.f.: Sum_{n>=0} (n-x)^n * x^n / (1 + n*x - x^2)^n.at n=12A202365
• a(n) = A215723(n) / 2^(n-1).at n=23A215897
• Maximum number of binary strings with symmetrically partitioned n 1's and n 0's, counted up to isomorphism.at n=22A250029
• Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having index change (+-,+-) 0,0 1,2 or 1,0.at n=3A264002
• T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,0 1,2 or 1,0.at n=31A264003
• Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having index change (+-,+-) 0,0 1,2 or 1,0.at n=4A264007
• a(n) = (n!/floor(1+n/2)!)^2.at n=11A329964
• Denominator of Sum_{k=1..n} 1/(prime(k) - 1)^2.at n=9A334746
• Denominator of Sum_{k=1..n} 1/(prime(k) - 1)^2.at n=12A334746
• Denominator of Sum_{k=1..n} 1/(prime(k) - 1)^2.at n=13A334746
• Numbers m such that sigma(m)/isigma(m) > sigma(k)/isigma(k) for all k < m, where sigma(m) is the sum of divisors of m (A000203) and isigma(m) is the sum of infinitary divisors of m (A049417).at n=14A335400
• Numbers with a record number of noninfinitary square divisors.at n=20A358263
• Numbers that set records in A380032.at n=28A380033