Properties of the Number 30478

Thirty Thousand Four Hundred Seventy-Eight

Basics

Value: 30477 → 30478 → 30479

Parity: even

Prime: No

Previous Prime: 30469

Next Prime: 30491

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 ² × 311

Divisors: 1, 2, 7, 14, 49, 98, 311, 622, 2177, 4354

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011100001110

Octal: 73416

Duodecimal: 1577A

Hexadecimal: 770e

Square: 928908484

Square Root: 174.57949478675897

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

Expansion of 1/((1-x)*(1-x-2·x³)). A3479

Nearest integer to γ(n + 9/10)/γ(9/10). A20015

Ceiling of γ(n+9/10)/γ(9/10). A20105

Number of multisets of exactly three nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A294005

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - b(n-2) + n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294423

Triangle read by rows: row n gives coefficients of expansion of q-tangent number T_2n+1(q) in powers of q. A143194

Expansion of ∏_k>=1 (1 - x^k)^k+1. A299019

Number of length-n binary words with no even palindrome of length > 6 and no odd palindrome of length > 3. A330131

a(n) = start of a sequence of at least n consecutive primes, p₁, p₂, ..., p_n (say), all == 1 mod 4, such that A(p₁) > A(p₂) > ... > A(p_n), where A(p) (see A145010) is the area of the Pythagorean triangle with hypotenuse p. A144954

G.f. satisfies A(x) = 1 + x·A(x)³ - x²*A(x)². A200755