Properties of the Number 34684

Thirty-Four Thousand Six Hundred Eighty-Four

Basics

Value: 34683 → 34684 → 34685

Parity: even

Prime: No

Previous Prime: 34679

Next Prime: 34687

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 13 × 23 × 29

Divisors: 1, 2, 4, 13, 23, 26, 29, 46, 52, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011101111100

Octal: 103574

Duodecimal: 180A4

Hexadecimal: 877c

Square: 1202979856

Square Root: 186.2364089000859

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 nXk 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero. A230592

a(n) = -(1/120)*n*(n - 3)*(n - 6)*(n² - 21·n + 8). A319931

Expansion of ∏_k>=1 (1-x^k)²⁹. A10834

Number of LD's in all skew Dyck paths of semilength n. A128734

a(n) = n*(n + 1)*(17·n - 14)/6. A237617

Powers of rooted tree enumerator. A439

a(n) = n*(6·n² - 7·n + 3)/2. A71230

Number of nX3 0..5 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero. A230589

a(n) = (8·n³ + 15·n² + 13·n)/6. A332698

If n = p₁^e_1 * ... * p_k^e_k, p₁ < ... < p_k primes, then a(n) = min { p_i^e_i }. A34684