Properties of the Number 45368

Forty-Five Thousand Three Hundred Sixty-Eight

Basics

Value: 45367 → 45368 → 45369

Parity: even

Prime: No

Previous Prime: 45361

Next Prime: 45377

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 53 × 107

Divisors: 1, 2, 4, 8, 53, 106, 107, 212, 214, 424

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011000100111000

Octal: 130470

Duodecimal: 22308

Hexadecimal: b138

Square: 2058255424

Square Root: 212.99765256922433

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

Triangle read by rows: T(n,m), n >= 0, 0 <= m <= n, is number of partitions of the set {1,2,...,n} that have at most one block contained in {1,...,m}. A362925

Triangle read by rows: number of labeled partitions of n with maximin m. A113547

Triangle read by rows: T(n,m), n >= 1, 1 <= m <= n, is number of partitions of the set {1,2,...,n} that have at most one block contained in {1,...,m}. A362924

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)⁴. A372929

Numbers k such that φ(k) + 2 | σ(k + 2). A15781

a(1) = 1, a(n) = n*(n-2)! + n - 1. A372255

Nonnegative integers k such that the Chebyshev distance between the vector of proportions of the digits 0-9 in 2^k and the uniform distribution (1/10, ..., 1/10) sets a new minimum. A393333

a(n) = ∑_{k >= 1} floor(3*τ^n-k). A20958

a(n) = 4*(3·n+1)*(3·n+2). A144410

a(0)=1. a(n) = a(n-1)*(n+1), if n is in the sequence. a(n)= a(n-1) +1, if n is missing from the sequence. A118471