Properties of the Number 83440

Eighty-Three Thousand Four Hundred Forty

Basics

Value: 83439 → 83440 → 83441

Parity: even

Prime: No

Previous Prime: 83437

Next Prime: 83443

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 × 7 × 149

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010111110000

Octal: 242760

Duodecimal: 40354

Hexadecimal: 145f0

Square: 6962233600

Square Root: 288.859827598093

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 horizontal, diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order. A216460

T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order. A216612

T(n,k) = Number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors). A208054

Triangle T(n,k) read by rows: number of k X k symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A138177

Number of n X 3 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors). A208051

Number of n X 4 nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors). A208052

Number of horizontal, diagonal and antidiagonal neighbor colorings of the even squares of a 4Xn array with new integer colors introduced in row major order. A216462

Number of horizontal, diagonal and antidiagonal neighbor colorings of the even squares of a 3Xn array with new integer colors introduced in row major order. A216461

Number of horizontal, diagonal and antidiagonal neighbor colorings of the odd squares of a 3 X n array with new integer colors introduced in row major order. A216613

Smallest n-digit palindrome with a digit sum of n. A83440