Properties of the Number 38395

Thirty-Eight Thousand Three Hundred Ninety-Five

Basics

Value: 38394 → 38395 → 38396

Parity: odd

Prime: No

Previous Prime: 38393

Next Prime: 38431

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 × 1097

Divisors: 1, 5, 7, 35, 1097, 5485, 7679, 38395

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010111111011

Octal: 112773

Duodecimal: 1A277

Hexadecimal: 95fb

Square: 1474176025

Square Root: 195.9464212482586

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

Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal. A80858

Number of partitions p of n such that (number of numbers of the form 5k + 2 in p) is a part of p. A241551

a(n) = ∑_{k=0..floor(n/4)} Stirling2(n - 3·k,k). A357904

Self-convolution of A180711. A180712

Square root of A030681. A30682

Number of nondecreasing arrangements of n numbers in -6..6 with sum zero and sum of squares not greater than n·42/3. A183924

Concatenation of the first n odd numbers in reverse order. A38395

E.g.f.: A(x) = x/Series_Reversion(x·G(x)) where G(x) = ∑_n>=0 nⁿ*xⁿ/n!. A243954