Properties of the Number 35368

Thirty-Five Thousand Three Hundred Sixty-Eight

Basics

Value: 35367 → 35368 → 35369

Parity: even

Prime: No

Previous Prime: 35363

Next Prime: 35381

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 4421

Divisors: 1, 2, 4, 8, 4421, 8842, 17684, 35368

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101000101000

Octal: 105050

Duodecimal: 18574

Hexadecimal: 8a28

Square: 1250895424

Square Root: 188.06381895516213

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) = 8·a(n-1) + a(n-2), starting with a(0)=2 and a(1)=8. A86594

a(n) = n⁵ + 5·n³ + 5·n. A261391

Numerators of continued fraction convergents to sqrt(68). A41118

Number of (n+2)X(n+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2. A255220

Square array A read by antidiagonals: the columns are given by A(n,1)=1, A(n,2)=n+1, A(n,3) = n²+2n+3, A(n,4) = n³+3·n²+6·n+4, A(n,5) = n⁴+4·n³+10·n²+12·n+7, ..., whose coefficients are given by A104509 (see also A118981). A309220

Array read by ascending antidiagonals. T(n, k) = L(k, n) where L are the Lucas polynomials. A352362

Continued fraction expansion for exp( ∑_n>=1 1/(n·A086594(n)) ), where A086594(n) = (4+sqrt(17))ⁿ + (4-sqrt(17))ⁿ. A174508

Number of partitions of n into parts 5k or 5k+2. A35368