Properties of the Number 34016

Thirty-Four Thousand Sixteen

Basics

Value: 34015 → 34016 → 34017

Parity: even

Prime: No

Previous Prime: 33997

Next Prime: 34019

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 1063

Divisors: 1, 2, 4, 8, 16, 32, 1063, 2126, 4252, 8504

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011100000

Octal: 102340

Duodecimal: 17828

Hexadecimal: 84e0

Square: 1157088256

Square Root: 184.43427013437605

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 n such that (10²ⁿ⁺¹+72·10ⁿ-1)/9 is prime. A107649

Numbers n such that n¹⁰²⁴ + 1 is prime (a generalized Fermat prime). A57002

a(n) = number of integer strings s(0),...,s(n) counted by array T in A026374 that have s(n)=1; also a(n) = T(2n-1,n-1). A26378

Binomial matrix applied to A111418. A126791

T(n,[ n/2 ]), where T is the array in A026386. A26392

Numbers k such that 6·p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)*p(k+6)-1 and 6·p(k)*p(k+1)*p(k+2)*p(k+3)*p(k+4)*p(k+5)*p(k+6)+1 are twin primes with p(h) = h-th prime. A129313

a(n) = T(n,[ n/2 ]), where T is the array in A026374. A26380

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(k·x)*(BesselI(0,2·x) + BesselI(1,2·x)). A292630

Number of genus 2 partitions of the set [3n] into n blocks of length 3. A371251

Erroneous version of A001403. A34016