Properties of the Number 34307

Thirty-Four Thousand Three Hundred Seven

Basics

Value: 34306 → 34307 → 34308

Parity: odd

Prime: No

Previous Prime: 34303

Next Prime: 34313

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 13 ² × 29

Divisors: 1, 7, 13, 29, 91, 169, 203, 377, 1183, 2639

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011000000011

Octal: 103003

Duodecimal: 17A2B

Hexadecimal: 8603

Square: 1176970249

Square Root: 185.2214890340751

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

Pellonomial triangle P(k,n) read by rows. A99927

a(n) = Pell(n) * Pell(n-1) * Pell(n-2) / 10. A99930

Matrix inverse of triangle A122178, where A122178(n,k) = C( n*(n+1)/2 + n-k - 1, n-k) for n>=k>=0. A121438

Number of factorization patterns of polynomials of degree n over F₄. A6169

Expansion of (1/x) * Series_Reversion( x * (1 - x² * (1 + x)³) ). A389295

Product of Fibonacci and (shifted) triangular numbers. A86926

a(n) = Pell(n) * Pell(n-1) * Pell(n-2) * Pell(n-3) / 120. A99931

Magic sums of 3 X 3 semimagic squares composed of odd squares. A269297

Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^floor((k+1)/2) * A099927(n,k). A383715

a(n) = ∑_k=0..n floor((k/2)²)*n². Row sums of A391996. A391997