Properties of the Number 32380

Thirty-Two Thousand Three Hundred Eighty

Basics

Value: 32379 → 32380 → 32381

Parity: even

Prime: No

Previous Prime: 32377

Next Prime: 32381

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 × 1619

Divisors: 1, 2, 4, 5, 10, 20, 1619, 3238, 6476, 8095

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111001111100

Octal: 77174

Duodecimal: 168A4

Hexadecimal: 7e7c

Square: 1048464400

Square Root: 179.9444358684091

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. satisfies: A(x) = ∑_n>=0 xⁿ*(1 + x·A(x)ⁿ)ⁿ. A186998

a(n) = 81n² - n. A157953

a(n) = 324n² - 2n. A158305

a(n) = 400·n² - 20. A158597

G.f. satisfies A(x) = 1 + x·A(x)³ * (1 + A(x))²/2. A371669

Indices of primes in sequence defined by A(0) = 67, A(n) = 10·A(n-1) - 23 for n > 0. A101529

Govindarajan's triangle F arising in enumeration of multi-dimensional partitions, read by rows. A216802

Number of nX4 arrays of permutations of 4 copies of 0..n-1 with every element equal to or 1 greater than any west or northeast neighbors modulo n and the upper left element equal to 0. A267738

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 446", based on the 5-celled von Neumann neighborhood. A272250

Number of strictly recursively normal integer partitions of n. A330937