Properties of the Number 34401

Thirty-Four Thousand Four Hundred One

Basics

Value: 34400 → 34401 → 34402

Parity: odd

Prime: No

Previous Prime: 34381

Next Prime: 34403

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11467

Divisors: 1, 3, 11467, 34401

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011001100001

Octal: 103141

Duodecimal: 17AA9

Hexadecimal: 8661

Square: 1183428801

Square Root: 185.47506570965274

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

a(n) + a(n+2) = n³. A206481

E.g.f. satisfies A(x) = 1/(4 - 3·exp(x·A(x))). A258923

In the n-th row of Pascal's triangle, an odious entry is replaced by 1, an evil entry is replaced by 0 and the n-th row is converted to decimal. A249664

a(n) is equal to the number of black 1 X 1 X 1 cubes in a certain coloring of the n X n X n cube (see comments for precise definition). A365486

Number of distinct-digit primes in base n. A140959

a(n) = (4·n³ - 6·n² + 20·n + 3)/3. A322597

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (xⁿ - 4·A(x))ⁿ = theta₄(x). A369671

O.g.f. A(x) satisfies: [xⁿ] exp(-n·A(x)) / (1 - n·x - n·x²) = 0, for n > 0. A321085

Multiplicity of highest weight (or singular) vectors associated with character chi₁₃ of Monster module. A34401

Array read by antidiagonals upwards: A(n,k) is the number of nonequivalent positions in the KRvK endgame on an n X n chessboard with DTM (distance to mate) k, n >= 3, k >= 0. A358339