Properties of the Number 34353

Thirty-Four Thousand Three Hundred Fifty-Three

Basics

Value: 34352 → 34353 → 34354

Parity: odd

Prime: No

Previous Prime: 34351

Next Prime: 34361

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 347

Divisors: 1, 3, 9, 11, 33, 99, 347, 1041, 3123, 3817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011000110001

Octal: 103061

Duodecimal: 17A69

Hexadecimal: 8631

Square: 1180128609

Square Root: 185.34562309372185

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

Numbers k such that x^k + x + 1 is irreducible over GF(2). A2475

Diagonal in array of n-gonal numbers A081422. A81435

L.g.f.: A(x) = log( 1 + ∑_n>=1 (n-1)!*xⁿ ) = ∑_n>=1 a(n)*xⁿ/n. A141154

Numbers k such that k = x + y, k' = x' + y' and k'' = x'' + y'', where k' and k'' are the first and second arithmetic derivatives of k. A293252

Square array, read by rows. For n,d >= 0, a(n,d) is the number of congruences of the d-twisted partition monoid of degree n. A340914

Numbers k such that both the sum of the semiprime divisors of k and the sum of the prime divisors of k are squares. A227478

Fourier coefficients of the modular form (1/t_6a³) * (1-6·sqrt(-3)/t_6a) * F_6a¹². A341568

Number of indecomposable binary [ n,6 ] codes without 0 columns. A34353

Array read by antidiagonals: ((z+sqrt(x))/2)^k + ((z-sqrt(x))/2)^k for columns k >= 0 and rows n >= 0, where x = 4·n+1 and y = floor(sqrt(x)) and z = y-1+(y mod 2). A309852