Properties of the Number 29344

Twenty-Nine Thousand Three Hundred Forty-Four

Basics

Value: 29343 → 29344 → 29345

Parity: even

Prime: No

Previous Prime: 29339

Next Prime: 29347

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 7 × 131

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001010100000

Octal: 71240

Duodecimal: 14B94

Hexadecimal: 72a0

Square: 861070336

Square Root: 171.30090484291085

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

a(n) = 4·n*(n² + 2)/3. A217873

Expansion of ∏_k>=1 1/(1 + x^k)^σ(k). A288421

a(n) = ∑_k=0..n (-1)^k * (2·k+1) * binomial(4·n-2·k+1,n-k)/(4·n-2·k+1). A390740

Diagonal sums of inverse of Riordan array (1/(1-x⁴),x/(1-x⁴)). A156065

G.f. A(x) satisfies: 1/A(x)³ = ∑_n>=0 (-1)ⁿ * (11·n+1) * x^n*(n+1/2). A256183

Number of binary strings of length n that can be written as the concatenation of nontrivial powers of other strings. A265642

Number of line segments connecting exactly 5 points in an n·n grid of points. A177721

Expansion of 1/((1-x⁴)(1-x⁵)(1-x¹⁰)(1-x¹¹)). A29344