Properties of the Number 34407

Thirty-Four Thousand Four Hundred Seven

Basics

Value: 34406 → 34407 → 34408

Parity: odd

Prime: No

Previous Prime: 34403

Next Prime: 34421

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3823

Divisors: 1, 3, 9, 3823, 11469, 34407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011001100111

Octal: 103147

Duodecimal: 17AB3

Hexadecimal: 8667

Square: 1183841649

Square Root: 185.49123968532854

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) = n! - ∑_j=1..n-1 j!. A132371

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n in which the maximal number of initial consecutive columns ending at the same level is k (1 <= k <= n). A140709

Number of Motzkin paths of length n with no level steps at height 3. A257386

Triangle read by rows: T(m,n) is the label of the largest square that an (m,n)-leaper (a generalization of a chess knight) reaches before it can no longer move, starting on a board with squares spirally numbered, starting at 1; 1 <= n < m. Each move is to the lowest-numbered unvisited square. A306197

Number of Proth primes < 2ⁿ. A214120

p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = 1 - S² - S³. A292321

Irregular table read by rows: Take a nonagon with all diagonals drawn, as in A332421. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A332427

Multiplicity of highest weight (or singular) vectors associated with character chi₁₉ of Monster module. A34407