Properties of the Number 35468

Thirty-Five Thousand Four Hundred Sixty-Eight

Basics

Value: 35467 → 35468 → 35469

Parity: even

Prime: No

Previous Prime: 35461

Next Prime: 35491

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 8867

Divisors: 1, 2, 4, 8867, 17734, 35468

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101010001100

Octal: 105214

Duodecimal: 18638

Hexadecimal: 8a8c

Square: 1257979024

Square Root: 188.32949848603113

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

Number of integer partitions of n that are empty, have smallest part not dividing all the others, or greatest part not divisible by all the others. A343346

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the difference of the maximum and the upper median in each 2X2 subblock. A236118

E.g.f. A(x) satisfies: A'(x) = (1 + A(x)²)²/4. A294784

Sum of absolute values of coefficients of expansion of (1-x)(1-x²)(1-x³)...(1-xⁿ). A61553

Total number of parts in all compositions of n into distinct odd parts. A97936

Number of (n+1)X(2+1) 0..3 arrays colored with the difference of the maximum and the upper median in each 2X2 subblock. A236114

Number of compositions (ordered partitions) of n into distinct prime powers (including 1). A331925

Number of partitions of n into parts 8k+6 or 8k+7. A35468