Properties of the Number 34430

Thirty-Four Thousand Four Hundred Thirty

Basics

Value: 34429 → 34430 → 34431

Parity: even

Prime: No

Previous Prime: 34429

Next Prime: 34439

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 11 × 313

Divisors: 1, 2, 5, 10, 11, 22, 55, 110, 313, 626

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000011001111110

Octal: 103176

Duodecimal: 17B12

Hexadecimal: 867e

Square: 1185424900

Square Root: 185.55322686496186

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303084

G.f. A(x) satisfies: A(x) = A(x² - x³)/x. A273218

Number of 4 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224040

Irregular triangle read by rows: T(n,k) = number of independent vertex subsets of size k of the graph g_n obtained by attaching two pendant edges to each vertex of the ladder graph L_n (i.e., L_n is the 2 X n grid graph; 0 <= k <= 4n+1). A235117

Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252380

Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303082

Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303087

Number of partitions of n into parts not of the form 25k, 25k+2 or 25k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 11 are greater than 1. A36001

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (1, -1, -1), (1, 1, 0), (1, 1, 1)}. A150678

Convolution of A001147 (double factorial numbers) with itself. A34430