Properties of the Number 34860

Thirty-Four Thousand Eight Hundred Sixty

Basics

Value: 34859 → 34860 → 34861

Parity: even

Prime: No

Previous Prime: 34849

Next Prime: 34871

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 7 × 83

Divisors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100000101100

Octal: 104054

Duodecimal: 18210

Hexadecimal: 882c

Square: 1215219600

Square Root: 186.70832868407345

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

Triangle read by rows: T(n,k) are the coefficients of Charlier polynomials: A046716 transposed, for 0 <= k <= n. A94816

Coefficients of a special case of Poisson-Charlier polynomials. A46716

Numbers k such that 4·k-1, 8·k-1, 16·k-1 and 32·k-1 are all primes. A101794

Square array A(row,col) = ∑_k=0..row binomial(row,k)*A002110(col+k), read by descending antidiagonals as A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), ... A276586

Expansion of e.g.f. -log(1-x)³ * exp(x) / 6. A381022

a(n) = 4·n*(21·n - 26). A263229

G.f. satisfies: x = A(x) - 2·A(A(x))² + A(A(A(x)))³. A177396

Transpose of square array A276586. A276587

Number of products of factorials not exceeding n!. A101976

a(1)=1; for n>1, a(n) = a(n-1) + n⁰ if n odd, a(n) = a(n-1) + n³ if n is even. A135332