Properties of the Number 34749

Thirty-Four Thousand Seven Hundred Forty-Nine

Basics

Value: 34748 → 34749 → 34750

Parity: odd

Prime: No

Previous Prime: 34747

Next Prime: 34757

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 11 × 13

Divisors: 1, 3, 9, 11, 13, 27, 33, 39, 81, 99

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011110111101

Octal: 103675

Duodecimal: 18139

Hexadecimal: 87bd

Square: 1207493001

Square Root: 186.41083659487182

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 reduced words of length n in the Weyl group D₁₁. A162288

Number of reduced words of length n in the Weyl group B₁₁. A161776

Denominators of coefficients c(n) in product expansion of 1 + tan x = ∏_k>=1 1 + c(k)*x^k. A353584

Dimensions of the irreducible representations of the simple Lie algebra of type E6 over the complex numbers, listed in increasing order. A121737

Dimensions of the irreducible representations of the simple Lie algebra of type F4 over the complex numbers, listed in increasing order. A121738

Starting numbers for which the RATS sequence has eventual period 3. A114613

Absolute value of coefficient of term [x^n-4] in characteristic polynomial of maximum matrix A of size n X n, where n >= 4. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n. A112460

Numbers k such that ∑_i=1..k gcd(k,i) divides ∑_i=1..k lcm(k,i). A72109

a(n) = (7·n⁵+5·n³)/12. A245380

Number of labeled servers of dimension 9. A27396