Properties of the Number 33819

Thirty-Three Thousand Eight Hundred Nineteen

Basics

Value: 33818 → 33819 → 33820

Parity: odd

Prime: No

Previous Prime: 33811

Next Prime: 33827

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11273

Divisors: 1, 3, 11273, 33819

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010000011011

Octal: 102033

Duodecimal: 176A3

Hexadecimal: 841b

Square: 1143724761

Square Root: 183.89942903663405

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

Euler transform of A055457. A373296

Array read by diagonals downwards: A(n,k) for n>=2 and k>=0 is the number of (n,k)-polyominoes. A381030

Number of partitions p of n such that (maximal multiplicity over the parts of p) = (number of numbers in p having multiplicity > 1). A241132

Number of (n,3)-polyominoes. A286345

Expansion of ∏_k>=1 1/(1 + k²*x^k). A292165

G.f.: (1+x³)/(1-x-x⁶). A193941

Trimorphic numbers: n³ ends with n. Also m-morphic numbers for all m > 5 such that m-1 is not divisible by 10 and m == 3 (mod 4). A33819

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 nXk array. A220032

a(n) is the number of unlabeled rank-3 graded lattices with 5 coatoms and n atoms. A322600