1944000

Appears in sequences

• Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=36A005934
• Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*10^j.at n=23A038264
• Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*6^j.at n=25A038308
• Triangle of generalized Stirling numbers.at n=19A061692
• Generalized Bell numbers.at n=4A061695
• a(n) = sum_(d|n) ((product_(d|n) d) / d).at n=29A220846
• Nonzero terms of the Hankel transform applied onto a Fibonacci-inspired C-fraction.at n=5A221709
• G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2*n} T(n,k)^2 * x^k] / A(x)^n * x^n/n ), where T(n,k) is the coefficient of x^k in (1+2*x)^n*(1+3*x)^n.at n=12A251688
• Coefficients in q-expansion of (6*E_2^2*E_4 - 8*E_2*E_6 + 3*E_4^2 - E_2^4)/6912, where E_2, E_4, E_6 are the Eisenstein series shown in A006352, A004009, A013973, respectively.at n=30A282211
• a(n) = Product_{d|n} (sigma(d)*pod(d)) where sigma(k) = the sum of the divisors of k (A000203) and pod(k) = the product of the divisors of k (A007955).at n=14A325030
• Powerful superabundant numbers: numbers m such that psigma(m)/m > psigma(k)/k for all k < m, where psigma(k) is the sum of powerful divisors of k (A183097).at n=25A349111
• Numbers k in A376936 that set records in A379552.at n=9A379553
• Positive integers k = p_1^e_1*p_2^e_2*p_3^e_3, such that the points (p_1, e_1), (p_2, e_2) and (p_3, e_3) lie on a straight line with nonzero slope.at n=30A389340