Properties of the Number 38367

Thirty-Eight Thousand Three Hundred Sixty-Seven

Basics

Value: 38366 → 38367 → 38368

Parity: odd

Prime: No

Previous Prime: 38351

Next Prime: 38371

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 ² × 29

Divisors: 1, 3, 7, 9, 21, 27, 29, 49, 63, 87

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010111011111

Octal: 112737

Duodecimal: 1A253

Hexadecimal: 95df

Square: 1472026689

Square Root: 195.8749601148651

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) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

Fifth column of the (1,4)-Pascal triangle A095666. A95667

Coefficient array for certain polynomials N(3; k,x) (rising powers of x). A62746

Determinant of the n X n matrix whose element (i,j) equals t(|i-j|) where t(n) is the number of divisors of n and t(0) = 0. A71084

Numbers n such that n and n+1 both have 24 divisors. A274362

G.f.: (1 + 7·x) / (1 - 2·x - 9·x²). A328604

a(1) = 1, a(n) = digit reversal of n·a(n-1). A96138

Numbers k such that φ(k)/k = 16/29. A172344

Expansion of (1-x)^-1/(1-3·x-2·x²-2·x³). A77824

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0100-1101-0111 pattern in any orientation. A147055