Properties of the Number 34445

Thirty-Four Thousand Four Hundred Forty-Five

Basics

Value: 34444 → 34445 → 34446

Parity: odd

Prime: No

Previous Prime: 34439

Next Prime: 34457

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 83 ²

Divisors: 1, 5, 83, 415, 6889, 34445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011010001101

Octal: 103215

Duodecimal: 17B25

Hexadecimal: 868d

Square: 1186458025

Square Root: 185.59364213248256

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

Numbers k such that σ(k) = ψ(k) + τ(k). A387953

Determinant of the (p_n-1)/2 X (p_n-1)/2 matrix with (i,j)-entry being the Legendre symbol((i²+j²)/p_n), where p_n is the n-th prime. A227609

Rectangular array R by antidiagonals: row n shows the positive integers whose base-3 digits have up-variation n, for n>=0. See Comments. A297442

Nearest integer to 1 / ∑_{p prime, 2ⁿ < p <= 2ⁿ⁺¹} (Kronecker(-1/p)/p). A166510

a(n) = a(n-1) + 9·a(n-2) - 9·a(n-3), where a(0) = 1, a(1) = 5, a(2) = 11. A297445

Nonprime numbers k such that the sum of the divisors of k² is of the form m² + m + 1. A289385

a(n) = (3ⁿ + 2·n*3^n-1 - 1)/4. A392266

Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 2 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255790

Multiplicity of highest weight (or singular) vectors associated with character chi₅₇ of Monster module. A34445