Properties of the Number -343

Three Hundred Forty-Three

Basics

Value: -344 → -343 → -342

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

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: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numerators of table a(n,k) read by antidiagonals: a(0,k) = 1/(k+1), a(n+1,k) = (k+1)*(a(n,k) - a(n,k+1)), n >= 0, k >= 0. A51714

Coefficients of the '6th-order' mock θ function ψ(q). A53269

Expansion of (3·x² + 244·x + 1)/(x³ - 99·x² + 99·x - 1). A269554

Expansion of e.g.f. exp((1 - exp(-4·x))/4). A318179

Dirichlet g.f.: 1 / ζ(s)⁷. A341833

Expansion of φ(-x)² * f(-x)⁶ + 32·x * ψ(-x)² * f(-x⁴)⁶ in powers of·where φ(), ψ(), f() are Ramanujan θ functions. A215601

Dirichlet g.f.: 1 / ζ(s-3). A334659

E.g.f.: exp(-1/2! * x² * exp(x)). A292953

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - ∑_i=0..n-1 binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0. A293015

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(n,k) = ∑_j=0..n (-k)^n-j*Stirling2(n,j). A309386