Properties of the Number 34968

Thirty-Four Thousand Nine Hundred Sixty-Eight

Basics

Value: 34967 → 34968 → 34969

Parity: even

Prime: No

Previous Prime: 34963

Next Prime: 34981

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 31 × 47

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 31, 47

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100010011000

Octal: 104230

Duodecimal: 182A0

Hexadecimal: 8898

Square: 1222761024

Square Root: 186.9973261840928

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 of integer compositions of n whose leaders of weakly increasing runs are identical. A374631

Approximations up to 7ⁿ for one of the three 7-adic integers (-1)^1/3. A210852

Number of partitions of n, with two kinds of 1, 2, 3 and 4. A710

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37). A250240

Bases b for which there exists an integer y such that y³ in base b looks like [c,d,e,c,d,e] for base-b digits c,d,e. A290185

a(n) = 1728·n - 1320. A157263

Expansion of (φ(q⁴) / φ(q))² in powers of q where φ() is a Ramanujan θ function. A260186

Expansion of (theta₃(z)*theta₃(15z) + theta₂(z)*theta₂(15z))⁴. A28628

Denominators of continued fraction convergents to sqrt(331). A41625

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having three, four, five or six distinct values for every i,j,k<=n. A211733