Properties of the Number 38378

Thirty-Eight Thousand Three Hundred Seventy-Eight

Basics

Value: 38377 → 38378 → 38379

Parity: even

Prime: No

Previous Prime: 38377

Next Prime: 38393

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 31 × 619

Divisors: 1, 2, 31, 62, 619, 1238, 19189, 38378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010111101010

Octal: 112752

Duodecimal: 1A262

Hexadecimal: 95ea

Square: 1472870884

Square Root: 195.90303724036542

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

Sum of all parts of all partitions of n that do not contain 1 as a part. A138880

Number of compositions (ordered partitions) of n into distinct parts, the least being 3. A339164

Sum of parts in all partitions of 2n+1 that do not contain 1 as a part. A182737

E.g.f. satisfies: A(x) = ∑_n>=0 ∏_k=1..n Integral A(x)^k dx. A234302

Integers which have more distinct digits than any smaller number. A38378

Triangle, read by rows, T(n,k,q) = c(k,q) + c(n-k,q) - c(n, q) where c(n,q) = ∏_j=1..n-1 ((q^j+1 - 1)/(q-1)) and q = 2. A172091

Number of n X 4 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A301527