Properties of the Number 40376

Forty Thousand Three Hundred Seventy-Six

Basics

Value: 40375 → 40376 → 40377

Parity: even

Prime: No

Previous Prime: 40361

Next Prime: 40387

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7 ² × 103

Divisors: 1, 2, 4, 7, 8, 14, 28, 49, 56, 98

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110110111000

Octal: 116670

Duodecimal: 1B448

Hexadecimal: 9db8

Square: 1630221376

Square Root: 200.93780132170252

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

Cycle lengths obtained by repeated application of the distance-minimizing variant of the strip bijection for the square lattice described in A367150. A367146

Irregular triangle read by rows: T(n, k) is the number of 2n-step closed walks on the square lattice having algebraic area k; n >= 0, 0 <= k <= floor(n²/4). A352838

Triangle read by rows: T(n,k) is the number of parking functions of length n whose maximum element is k, where n >= 0 and 0 <= k <= n. A260693

Expansion of ∏_k>0 ((1 - q^3·k)⁴*(1 - q^6·k)²)/((1 - q^k)⁴*(1 - q^2·k)²). A293629

Sum of all entries in character table of the hyperoctahedral group B_n. A373625

The triangular sequence of symmetrical Lah numbers (A111596, A008297) : L(n, m) = (-1)ⁿ* binomial(n,k)*binomial(n-1, k-1)*( (n-k)! + (n-k)*(k-1)! ), with L(0,0) = 2, L(n,0) = L(n,n) = (-1)ⁿ. A156786

Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A208284

Number of 7 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A208291

a(n) is the genus of the modular curve associated to the principal congruence subgroup of level p(n), where p(n) is the n-th prime number. A191590

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically. A208287