Properties of the Number 40356

Forty Thousand Three Hundred Fifty-Six

Basics

Value: 40355 → 40356 → 40357

Parity: even

Prime: No

Previous Prime: 40351

Next Prime: 40357

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 19 × 59

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 19, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110110100100

Octal: 116644

Duodecimal: 1B430

Hexadecimal: 9da4

Square: 1628606736

Square Root: 200.88802851339847

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

Number of groups of order prime(n)⁶. A232106

Numbers that are the sum of seven fourth powers in eight or more ways. A345574

Numbers that are the sum of seven fourth powers in nine or more ways. A345575

Numbers that are the sum of seven fourth powers in exactly nine ways. A345831

G.f. A(x) satisfies 1 = ∑_n>=0 (-x)^n² * A(x)ⁿ⁺¹. A193114

Denominators of coefficients in Stirling's expansion for log(γ(z)). A46969

Rectangular array T(n,m), read by upward antidiagonals: T(n,m) is the number of difunctional (regular) binary relations between an n-element set and an m-element set. A265417

Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer. A32795

a(n) = n! + ∑_i=1..n i. A101292

a(n) = 3·p²+39·p+344+24·gcd(p-1,3)+11·gcd(p-1,4)+2·gcd(p-1,5), where p = prime(n). A269749