Properties of the Number 64329

Sixty-Four Thousand Three Hundred Twenty-Nine

Basics

Value: 64328 → 64329 → 64330

Parity: odd

Prime: No

Previous Prime: 64327

Next Prime: 64333

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 41 × 523

Divisors: 1, 3, 41, 123, 523, 1569, 21443, 64329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101101001001

Octal: 175511

Duodecimal: 31289

Hexadecimal: fb49

Square: 4138220241

Square Root: 253.63162263408717

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) = ∑_k=1..n μ(k)*k³. A336277

a(n) = A078153(2ⁿ). A78158

E.g.f.: S(x,q) = Integral C(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where S(x,q) = ∑_n>=0 ∑_{k=0..n*(n+1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322219

Generalized Catalan numbers C(-7; n). A64329

E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where C(x,q) = ∑_n>=0 ∑_{k=0..n*(n-1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322218