Properties of the Number 10340

Ten Thousand Three Hundred Forty

Basics

Value: 10339 → 10340 → 10341

Parity: even

Prime: No

Previous Prime: 10337

Next Prime: 10343

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 11 × 47

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 47

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001100100

Octal: 24144

Duodecimal: 5B98

Hexadecimal: 2864

Square: 106915600

Square Root: 101.68579055108928

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

Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) is the number of partitions of kⁿ into powers of k. A145515

a(n) = n*(13·n-3)/2. A186030

T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A268774

Numbers k such that k + the reversal of k is a square. A61230

Number of ways to place 2 nonattacking amazons (superqueens) on an n X n board. A172200

a(n) = n*(n + 7)*(n + 14)/6. A264444

Irregular table read by rows: T(n,k) is the number of k-sided polygons, for k>=3, in a square when straight line segments connect the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the square. A355801

Number of partitions of 6ⁿ into powers of 6, also equals the row sums of triangle A111825, which shifts columns left and up under matrix 6th power. A111827

Numbers k such that there are exactly four biquadratefree powerful numbers (A338325) between k² and (k+1)². A338391

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