Properties of the Number 34240

Thirty-Four Thousand Two Hundred Forty

Basics

Value: 34239 → 34240 → 34241

Parity: even

Prime: No

Previous Prime: 34231

Next Prime: 34253

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 5 × 107

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010111000000

Octal: 102700

Duodecimal: 17994

Hexadecimal: 85c0

Square: 1172377600

Square Root: 185.04053609952604

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) is the determinant of the n X n symmetric matrix M(n) that is defined as M[i,j] = abs(i - j) if min(i, j) < max(i, j) <= 2·min(i, j), and otherwise 0. A353452

Irregular triangular array T; row n shows the coefficients of the (n-1)-st polynomial in the obverse convolution s(x)**t(x), where s(x) = x+F(n) and t(x) = F(n), where F(n) = n-th Fibonacci number (A000045). See Comments. A375048

Expansion of (1-x)*(10·x⁴-20·x³+16·x²-6·x+1)/(1-2·x)⁵. A190051

Triangle read by rows: Coefficients of the polynomials S1(n, x) * EZ(n, x), where S1 denote the Stirling1 polynomials and EZ the Eulerian zig-zag polynomials A205497. A373429

Numbers k such that the number of steps to reach 1 in '3x+1' problem equals τ(k), the number of divisors of k. A70980

Molecular topological index of the n-antiprism graph. A192791

Augmentation of the triangle given by p(n,k)=(3+(-1)^k)/2 for 0<=k<=n. See Comments. A193631

a(n) is the number of unlabeled rank-3 graded lattices with 5 coatoms and n atoms. A322600

Number of quaternary codes of length 9 with n words. A34240