Properties of the Number 2349

Two Thousand Three Hundred Forty-Nine

Basics

Value: 2348 → 2349 → 2350

Parity: odd

Prime: No

Previous Prime: 2347

Next Prime: 2351

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 29

Divisors: 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100101101

Octal: 4455

Duodecimal: 1439

Hexadecimal: 92d

Square: 5517801

Square Root: 48.46648326421054

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers obtained by reinterpreting base-2 representation of n in primorial base: a(0) = 0, a(2n) = A276154(a(n)), a(2n+1) = 1 + A276154(a(n)). A276156

Number of symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n. A138178

Product of the 4th power of a prime (A030514) and a different prime (p⁴*q). A178739

a(n) = n² + 3·n - 1. A14209

Number of benzenoids with 22 hexagons, C_2v symmetry and containing n carbon atoms. A123106

a(n) = 3·n² + 6·n. A67725

Numbers k for which A003415(k) >= A276086(k), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A351228

Integer part of decimal 'base-2 looking' numbers divided by their actual base-2 values (denominator of a(n) is n, numerator is n written in binary but read in decimal). A32532

Dispersion of A047208, (numbers >1 and congruent to 0 or 4 mod 5), by antidiagonals. A191725

Number of totally strong integer partitions of n. A316496