Properties of the Number 34764

Thirty-Four Thousand Seven Hundred Sixty-Four

Basics

Value: 34763 → 34764 → 34765

Parity: even

Prime: No

Previous Prime: 34763

Next Prime: 34781

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2897

Divisors: 1, 2, 3, 4, 6, 12, 2897, 5794, 8691, 11588

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011111001100

Octal: 103714

Duodecimal: 18150

Hexadecimal: 87cc

Square: 1208535696

Square Root: 186.45106596638163

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 no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279168

Number of asymmetric trees with a forbidden limb of length 3. A52326

a(n) = prime(n)*prime(n+1) + prime(n+2). A292926

Number of (2+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j·x(i,j), j=1..n+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..2+1} nondecreasing. A233367

Growth series for affine Coxeter group (or affine Weyl group) D₈. A266763

Number of nX4 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279164

Number of nX6 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279166

Number of ways to place zero or more nonadjacent 1,0 1,1 2,1 2,2 3,1 4,1 polyhexes in any orientation on a planar nXnXn triangular grid. A155251

Numbers k such that (23·10^k - 47)/3 is prime. A293274

Numbers with binary expansion ∑_{k = 0..w} b_k * 2^k such that the polynomial ∑_{k = 0..w} (X+k)² * (-1)^b_k is constant. A337672