Properties of the Number 4350

Four Thousand Three Hundred Fifty

Basics

Value: 4349 → 4350 → 4351

Parity: even

Prime: No

Previous Prime: 4349

Next Prime: 4357

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 ² × 29

Divisors: 1, 2, 3, 5, 6, 10, 15, 25, 29, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011111110

Octal: 10376

Duodecimal: 2626

Hexadecimal: 10fe

Square: 18922500

Square Root: 65.95452979136459

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

Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X 5 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=3, 0<=k<=floor(n/3), read by rows. A231473

Expansion of Jacobi θ constant theta₂⁶ /(64q^3/2). A8440

10 times triangular numbers: a(n) = 5·n*(n + 1). A124080

Number T(n,k) of partitions of n where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order and all k letters occur at least once in the partition; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A261719

Third differences of fifth powers (A000584). A101096

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219595

T(n,k)=Number of length n+3 0..k arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. A250387

G.f. satisfies: A(x - 5·A(x)²) = x + A(x)². A277305

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order. A231463

Record (maximal) gaps between prime triples (p, p+4, p+6). A201596