Properties of the Number 34480

Thirty-Four Thousand Four Hundred Eighty

Basics

Value: 34479 → 34480 → 34481

Parity: even

Prime: No

Previous Prime: 34471

Next Prime: 34483

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 × 431

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011010110000

Octal: 103260

Duodecimal: 17B54

Hexadecimal: 86b0

Square: 1188870400

Square Root: 185.68791021496256

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

a(n) = maximal cycle size in range [2^n-1,(2ⁿ)-1] of permutation A209861/A209862. A209865

a(n) = (-2 - (-1)ⁿ*(-2 + n) + n + 2·n³)/4. A323723

Numerator of Hermite(n, 4/27). A160103

Number of binary strings of length n with equal numbers of 00001 and 00101 substrings. A164195

Number of n X n symmetric 0..1 arrays with each element equal to at least two horizontal or vertical neighbors, containing at least one 1 and with new values 0..1 introduced in lower triangular row major order. A192840

a(n) is the least k > n such that n divides k, and n+1 divides k+1, and n+2 divides k+2. A295388

G.f. A(x,y) satisfies: A(x,y) = x·y + A(x,x·y)², with A(0,y) = 1. A275670

Number of (n+1)X(1+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236782

Multiplicity of highest weight (or singular) vectors associated with character chi₉₂ of Monster module. A34480