Properties of the Number 34398

Thirty-Four Thousand Three Hundred Ninety-Eight

Basics

Value: 34397 → 34398 → 34399

Parity: even

Prime: No

Previous Prime: 34381

Next Prime: 34403

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 7 ² × 13

Divisors: 1, 2, 3, 6, 7, 9, 13, 14, 18, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011001011110

Octal: 103136

Duodecimal: 17AA6

Hexadecimal: 865e

Square: 1183222404

Square Root: 185.4669781928848

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

Triangle read by rows: T(n, k) is the number of diagonal dissections of a convex n-gon into k+1 regions. A33282

Triangle obtained by adding a leading diagonal 1,0,0,0,... to A033282. A86810

Triangle read by rows: T(n,k) is the number of Schroeder paths of semilength n containing exactly k peaks but no peaks at level one (n >= 1; 0 <= k <= n-1). A126216

a(n) = ∑_{d >= 1, d divides n} (-1)^n-d*d³. A8457

a(n) = ∑_{d divides n} (-1)^n/d+1*d³. A78307

Triangle read by rows: T(n,k) is the number of short bushes with n edges and k branchnodes (i.e., nodes of outdegree at least two). A short bush is an ordered tree with no nodes of outdegree 1. A108263

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

a(n) = ∑_d∣n (-1)^d-1*d³. A138503

a(n) = ∑_k=0..3 binomial(6,k)*binomial(n,k). A247608

Triangle T(n,k), 0 <= k <= n, read by rows, given by [1,1,1,1,1,1,1,...] δ [0,1,0,1,0,1,0,1,0,...] where δ is the operator defined in A084938. A133336