Properties of the Number 34384

Thirty-Four Thousand Three Hundred Eighty-Four

Basics

Value: 34383 → 34384 → 34385

Parity: even

Prime: No

Previous Prime: 34381

Next Prime: 34403

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 7 × 307

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011001010000

Octal: 103120

Duodecimal: 17A94

Hexadecimal: 8650

Square: 1182259456

Square Root: 185.42923178398814

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

Jordan function J₃(n). A59376

Number of Catalan objects of size n fixed by Catalan Automorphism A057511/A057512 (deep rotation of general parenthesizations/plane trees). A57546

Multiplicative with a(p^e) = 1 - p³. A63453

Row sums in A082259. A82261

Coefficient of·in the reduction (by x²->x+1) of polynomial p(n,x) identified in Comments. A192349

The unitary totient of the smallest cube divisible by n. A392088

The unitary totient of the smallest cubefull number that is divisible by n. A392090

Numbers k such that 2^k + 3^k-1 is prime. A82400

Number of -4..4 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having two or three distinct values for every i<=n and j<=n. A211689

Number of two-state cellular automaton rules on a (2n+1)-site neighborhood that conserve the number of 1's. A34384