Properties of the Number 34288

Thirty-Four Thousand Two Hundred Eighty-Eight

Basics

Value: 34287 → 34288 → 34289

Parity: even

Prime: No

Previous Prime: 34283

Next Prime: 34297

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 2143

Divisors: 1, 2, 4, 8, 16, 2143, 4286, 8572, 17144, 34288

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010111110000

Octal: 102760

Duodecimal: 17A14

Hexadecimal: 85f0

Square: 1175666944

Square Root: 185.1701919856433

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock. A236018

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having one or two 1s. A251326

Mobiles (cycle rooted trees) where no branch is identical to its adjacent neighbor. A106364

Number of (n+1)X(3+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock. A236013

Number of (n+1)X(4+1) 0..2 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock. A236014

Number of (n+1) X (2+1) 0..1 arrays with every 2 X 2 subblock having one or two 1s. A251320

Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock having one or two 1's. A251324

a(n) = ∑_d∣n 2^d-1 * binomial(d+n/d-1,d). A357041

a(n) = 8·a(n-1)-14·a(n-2) for n>1; a(0) = 2; a(1) = 9. A162356

Product of proper divisors is larger than for any smaller number. A34288