Properties of the Number 29378

Twenty-Nine Thousand Three Hundred Seventy-Eight

Basics

Value: 29377 → 29378 → 29379

Parity: even

Prime: No

Previous Prime: 29363

Next Prime: 29383

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 37 × 397

Divisors: 1, 2, 37, 74, 397, 794, 14689, 29378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011000010

Octal: 71302

Duodecimal: 15002

Hexadecimal: 72c2

Square: 863066884

Square Root: 171.40011668607463

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 partitions of n containing a clique of size 6. A183563

a(n) = 25·n² - 36·n + 13. A154355

a(n) = (5·n + 1)² + 4·n + 1. A7533

Number of triples (a, b, c) with gcd(a, b, c) = 1 and -n <= a,b,c <= n. A175549

Triangle read by rows: Coefficients of the polynomials S2(n, x) * EP(n, x), where S2 denote the Stirling set polynomials and EP the Eulerian polynomials A173018. A373571

Expansion of 1/((1-x⁵)(1-x⁶)(1-x⁷)(1-x⁸)). A29378

Array read by antidiagonals: Numerical sequences of Fibonacci-like polynomials produced by m-ary Huffman trees of maximum height for absolutely ordered sequences. A98805