Properties of the Number 19350

Nineteen Thousand Three Hundred Fifty

Basics

Value: 19349 → 19350 → 19351

Parity: even

Prime: No

Previous Prime: 19333

Next Prime: 19373

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 ² × 43

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101110010110

Octal: 45626

Duodecimal: B246

Hexadecimal: 4b96

Square: 374422500

Square Root: 139.10427743243557

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 (∏_j>=1 (1-(-x)^j) - 1)¹⁰ in powers of x. A1488

Triangle, read by rows, where T(n,k) equals the dot product of the vector of terms in row n that are to the right of T(n,k) with the vector of terms in column k that are above T(n,k): T(n,k) = ∑_j=0..n-k-1 T(n,j+k+1)*T(j+k,k) for n > k+1 > 0, with T(n,n) = 1 and T(n,n-1) = n (n>=1). A115080

Column 1 of triangle A115080. A115082

The number of non-equivalent distinguishing colorings of the cycle on n vertices with at most k colors (k>=1). The cycle graph is defined for n>=3; extended to n=1,2 using the closed form. Square array read by descending antidiagonals: the rows are indexed by n, the number of vertices of the cycle and the columns are indexed by k, the number of permissible colors. A309528

Numbers k such that k² and k³ have the same set of digits. A29797

Matrix 10th power of partition triangle A008284. A50304

a(n) = ∑_k=1..n (-1)^k-1 * binomial(floor(n/k)+3,4). A366659

a(n) = 2·n*(16·n - 13). A263228

Consecutive states of the linear congruential pseudo-random number generator (1093·s + 18257) mod 86436 when started at s=1. A385340

Numbers that are representable in at least two ways as sums of four distinct nonvanishing cubes. A259060