Properties of the Number 344

Three Hundred Forty-Four

Basics

Value: 343 → 344 → 345

Parity: even

Prime: No

Previous Prime: 337

Next Prime: 347

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 43

Divisors: 1, 2, 4, 8, 43, 86, 172, 344

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011000

Octal: 530

Duodecimal: 248

Hexadecimal: 158

Square: 118336

Square Root: 18.547236990991408

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

a(n) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Refactorable numbers: number of divisors of k divides k. Also known as τ numbers. A33950

Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

sigma₃(n): sum of cubes of divisors of n. A1158

Numbers whose prime indices are inseparable. A335448

Numbers that are products of 4 primes. A14613

Numbers that are the sum of 2 positive cubes. A3325

Sum of totient function: a(n) = ∑_k=1..n φ(k), cf. A000010. A2088

Octahedral numbers: a(n) = n*(2·n² + 1)/3. A5900

Numbers that are the sum of 3 positive cubes. A3072