Properties of the Number 36234

Thirty-Six Thousand Two Hundred Thirty-Four

Basics

Value: 36233 → 36234 → 36235

Parity: even

Prime: No

Previous Prime: 36229

Next Prime: 36241

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 11 × 61

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 27, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110110001010

Octal: 106612

Duodecimal: 18B76

Hexadecimal: 8d8a

Square: 1312902756

Square Root: 190.35230495058366

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

G.f.: (1 + x⁴ + x⁷ + 2·x⁸ + x⁹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A3405

Number of partitions of n that do not contain 9 as a part. A27343

Number of basis partitions of n+49 with Durfee square size 7. A53802

Number of 3 X n 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing. A224159

Numbers k such that k = x + y, k' = x' + y' and k'' = x'' + y'', where k' and k'' are the first and second arithmetic derivatives of k. A293252

a(n) is the least positive number that can be written in exactly n ways as 3·x*y² - x³ where·and y are positive integers. A364974

A coefficients of characteristic polynomials of A_n Cartan matrices times their transposes: t(n,m,d)=If[ n == m, 2, If[n == m - 1 || n == m + 1, -1, 0]]. M(d)=t(n,m,d)*Transpose[t(n,m,d)]. A158199

Number of primes <= n, if 1 is counted as a prime. A36234