Properties of the Number 8340

Eight Thousand Three Hundred Forty

Basics

Value: 8339 → 8340 → 8341

Parity: even

Prime: No

Previous Prime: 8329

Next Prime: 8353

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 139

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 10000010010100

Octal: 20224

Duodecimal: 49B0

Hexadecimal: 2094

Square: 69555600

Square Root: 91.32360045464699

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..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231396

Numbers k such that 4^k - 3 is prime. A59266

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order. A253044

Number of permutations p of 1,2,...,n satisfying |p(i+1)-p(i)|<>5 and |p(j+5)-p(j)|<>1 for all i=1..n-1, j=1..n-5. A189564

Numbers that are the sum of ten fourth powers in nine or more ways. A345602

Numbers that are the sum of ten fourth powers in ten or more ways. A345603

Numbers that are the sum of ten fourth powers in exactly ten ways. A345862

Expansion of ∑_k>=1 φ(k) * x^k/(1 - x^k)⁴, where φ = Euler totient function (A000010). A309323

a(n) = n·A002088(n). A143270

Number of ways to place n nonattacking composite pieces rook + rider[1,5] on an n X n chessboard. A189852