Properties of the Number 34864

Thirty-Four Thousand Eight Hundred Sixty-Four

Basics

Value: 34863 → 34864 → 34865

Parity: even

Prime: No

Previous Prime: 34849

Next Prime: 34871

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 2179

Divisors: 1, 2, 4, 8, 16, 2179, 4358, 8716, 17432, 34864

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1000100000110000

Octal: 104060

Duodecimal: 18214

Hexadecimal: 8830

Square: 1215498496

Square Root: 186.7190402717409

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

T(n,k)=Number of nXk 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224133

Number T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327116

Expansion of (theta₃(z)*theta₃(19z) + theta₂(z)*theta₂(19z))⁴. A28644

G.f.: ∑_k>=1 (k⁴ * x^k² / ∏_j=1..k (1 - x^j)). A333152

Partial sums of superfactorials (A000178). A152690

Number of (n+2) X 7 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. A204281

Number of n X 3 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224128

Row sums of triangle A178473. A203509

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. A204284

a(5) = 5, a(6) = 1170, for n >= 7, a(n) = n!*(4·n³ - 30·n² + 40·n + 3)/24. A34864