Properties of the Number 37344

Thirty-Seven Thousand Three Hundred Forty-Four

Basics

Value: 37343 → 37344 → 37345

Parity: even

Prime: No

Previous Prime: 37339

Next Prime: 37357

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 389

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000111100000

Octal: 110740

Duodecimal: 19740

Hexadecimal: 91e0

Square: 1394574336

Square Root: 193.2459572668986

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

Integers n such that 10ⁿ-59 is prime. A108506

a(0)=1; a(n) = sigma₁(n) + sigma₃(n). A92345

Binary order of n plus number of partitions of n-1. A163295

Number of nondecreasing sequences of n 1..n+1 integers with no element dividing the sequence sum. A212869

Rectangular array T(n,k) = number of nondecreasing sequences of n 1..k integers with no element dividing the sequence sum (for n, k >= 1), read by decreasing antidiagonals. A212868

Numbers whose base-2 and base-10 expansions have no digits in common. A37344

Numbers n such that 2^n-1, (2·n-1)*(2^(n-1/2)), (4·ceiling((3/4)*n)-2), and (2⁽ⁿ⁺¹/2) + floor((1/4)*n)*2⁽⁽ⁿ⁺¹/2)+1)) are all congruent to 1 (mod n). A294912