Properties of the Number 343

Three Hundred Forty-Three

Basics

Value: 342 → 343 → 344

Parity: odd

Prime: No

Previous Prime: 337

Next Prime: 347

Digit Sum: 10

Digital Root: 1

Palindrome: Yes

Factorization: 7 ³

Divisors: 1, 7, 49, 343

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010111

Octal: 527

Duodecimal: 247

Hexadecimal: 157

Square: 117649

Square Root: 18.520259177452136

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

The cubes: a(n) = n³. A578

Palindromes in base 10. A2113

Perfect powers: m^k where m > 0 and k >= 2. A1597

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

The Doudna sequence: write n-1 in binary; power of prime(k) in a(n) is # of 1's that are followed by k-1 0's. A5940

Central polygonal numbers: a(n) = n² - n + 1. A2061

Product of divisors of n. A7955

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

a(0)=1. a(n) = p(A000120(n)) * ∏_{m=1..A000120(n)} p(m)^A163510(n,m), where p(m) is the m-th prime. A163511

Cubes of primes. A30078