Properties of the Number 7344

Seven Thousand Three Hundred Forty-Four

Basics

Value: 7343 → 7344 → 7345

Parity: even

Prime: No

Previous Prime: 7333

Next Prime: 7349

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010110000

Octal: 16260

Duodecimal: 4300

Hexadecimal: 1cb0

Square: 53934336

Square Root: 85.6971411425142

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

Smallest k such that φ(x) = k has exactly n solutions, n>=2. A7374

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A286781

Let p = A002145(n) be the n-th prime == 3 (mod 4); a(n) is the multiplicative order of 2+-i modulo p in Gaussian integers. A385165

a(n) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

Alternating sum of cubes, i.e., ∑_k=0..n k^p*q^k for p=3, q=-1. A232599

Paradigm shift sequence for (4,5) production scheme with replacement. A246099

Numbers k such that σ(x) = k has exactly 9 solutions. A60665

T(n,k)=Number of nXnXn triangular 0..k arrays with some element plus some adjacent element totalling k+1, k or k-1 exactly once. A270850

Let p = n-th prime == 3 mod 8; a(n) = sum of quadratic residues mod p that are < p/2. A282721

Primitive terms of A023197: numbers k such that σ(k)/k >= 3, but for every proper divisor, d∣k, d<k, σ(d)/d < 3. A388019