Properties of the Number 43240

Forty-Three Thousand Two Hundred Forty

Basics

Value: 43239 → 43240 → 43241

Parity: even

Prime: No

Previous Prime: 43237

Next Prime: 43261

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 5 × 23 × 47

Divisors: 1, 2, 4, 5, 8, 10, 20, 23, 40, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010100011101000

Octal: 124350

Duodecimal: 21034

Hexadecimal: a8e8

Square: 1869697600

Square Root: 207.9422996891205

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

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234681

a(n) = 49n² - 28n - 20. A118058

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - b(n-2) + n, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294563

Number of (n+1) X (3+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234676

Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234678

Card numbers for top card reappearing at the top after three shuffles (Monthly problem 12008). A328092

Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(4,5) + cn(2,5) and cn(0,5) <= cn(1,5) + cn(4,5) + cn(3,5). A39844

G.f.: ∑_n>=1 ( (1+x)ⁿ + 2ⁿ*xⁿ )ⁿ / 2ⁿ. A323322

Least number > 1 which equals n-th power of the sum of its digits in decimal base. A72408

Number of nX2 0..3 arrays with each element equal to either the sum mod 4 of its horizontal and vertical neighbors or the sum mod 4 of its diagonal and antidiagonal neighbors. A183536