Properties of the Number 10350

Ten Thousand Three Hundred Fifty

Basics

Value: 10349 → 10350 → 10351

Parity: even

Prime: No

Previous Prime: 10343

Next Prime: 10357

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 ² × 23

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001101110

Octal: 24156

Duodecimal: 5BA6

Hexadecimal: 286e

Square: 107122500

Square Root: 101.73494974687902

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

10 times triangular numbers: a(n) = 5·n*(n + 1). A124080

Numbers k such that 3^k - 28 is prime. A219047

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=7. A135192

T(n,k) = Number of (n+1) X (k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order. A263519

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

Numbers k such that k and 3·k are anagrams. A23087

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219883

a(n) = n*(n+5)*(n+6)*(n+7)/24. A5587

Let A(n) = #{(i,j,k): i² + j² + k² <= n}, V(n) = (4/3)π*n^3/2, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record. A92

Length of the maximal prefix of noncomposite numbers on row n of A249821. A250473