Properties of the Number 74400

Seventy-Four Thousand Four Hundred

Basics

Value: 74399 → 74400 → 74401

Parity: even

Prime: No

Previous Prime: 74383

Next Prime: 74411

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 ² × 31

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001010100000

Octal: 221240

Duodecimal: 37080

Hexadecimal: 122a0

Square: 5535360000

Square Root: 272.7636339397171

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

G.f. A(x) satisfies A(x) = 1 + x·A(x·A(x)²). A143500

O.g.f.: ∑_n>=0 2*(n+2)^n-1*xⁿ/(1+n·x)ⁿ. A195254

Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n. A97696

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A143500. A384580

Number of endofunctions on [n] such that the number of elements that are mapped to i is either 0 or a prime divisor of i. A364328

a(n) = Fibonacci(n) - n². A14283

Number of atoms in first n shells of type I hyperfullerene. A63497

Euler transform of period 5 sequence [ 2, 1, 1, 2, 1, ...]. A205183

Numbers k such that k and uphi(k) have the same set of prime divisors, where uphi is the unitary totient function (A047994). A329859

Number of walks on cubic lattice. A5571