Properties of the Number 34896

Thirty-Four Thousand Eight Hundred Ninety-Six

Basics

Value: 34895 → 34896 → 34897

Parity: even

Prime: No

Previous Prime: 34883

Next Prime: 34897

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 727

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000100001010000

Octal: 104120

Duodecimal: 18240

Hexadecimal: 8850

Square: 1217730816

Square Root: 186.80471086136987

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 (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise. A235548

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing columnwise and nonincreasing rowwise. A235765

T(n,k) = Number of n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 two less than the number of 0's adjacent to some 1. A286216

Generalized Catalan triangle A067298 with row reversion. A67304

Generalized Catalan triangle, based on C(2,2; n) = A064340(n). A67298

Expansion of ( ∑_k>=0 k² * q^k² )³. A347802

Inverse permutation to A386932. A387024

Number of (n+1) X (1+1) 0..1 arrays with the sum of each 2 X 2 subblock two median terms lexicographically nondecreasing rowwise and columnwise. A235541

Partitions with designated summands in which no parts are multiples of 3. A293569

Number of n X 3 0..1 arrays with the number of 1's king-move adjacent to some 0 two less than the number of 0's adjacent to some 1. A286211