Properties of the Number -32384

Thirty-Two Thousand Three Hundred Eighty-Four

Basics

Value: -32385 → -32384 → -32383

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 11 × 23

Divisors: 1, 2, 4, 8, 11, 16, 22, 23, 32, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111111010000000

Octal: -77200

Duodecimal: -168A8

Hexadecimal: -7e80

Square: 1048723456

Square Root: 179.95555006723188

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

Expansion of g.f. (1+x)²*(x²-6·x+1)/(x-1)⁴. A136264

Expansion of e.g.f.: exp(tan(x)-arctanh(x))=1-8/5!*x⁵-448/7!*x⁷-32384/9!*x⁹+8064/10!*x¹⁰... A13456

Modular form of Level 4 and weight 5/2. A58963

Number of ways to change three non-identical letters in the word aabbccdd..., where there are n types of letters. A102860

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. A275142

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A234227

Arises in enumerating Huffman codes, compact trees, and sums of unit fractions. A194631

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 369", based on the 5-celled von Neumann neighborhood. A281517

Numbers k such that k and k+1 are both φ-practical numbers (A260653). A330871

Numbers k for which A003415(k) >= A276086(k) > k, where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A351229