Properties of the Number 34920

Thirty-Four Thousand Nine Hundred Twenty

Basics

Value: 34919 → 34920 → 34921

Parity: even

Prime: No

Previous Prime: 34919

Next Prime: 34939

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 97

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100001101000

Octal: 104150

Duodecimal: 18260

Hexadecimal: 8868

Square: 1219406400

Square Root: 186.86893802876924

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

Record (maximal) gaps between prime triples (p, p+2, p+6). A201598

Smallest number having exactly n divisors that are not greater than the number's greatest prime factor. A87134

Group the triangular numbers so that the n-th group sum is a multiple of n. 1, (3, 6, 10, 15), (21), (28), (36, 45, 55, 66, 78), (91, 105, 120, 136, 153, 171, 190), ... Sequence contains n-th group sum divided by n. A114032

Smallest number whose largest odd noncomposite divisor is its n-th divisor. A384232

a(1) = 1. a(n) = n times (10's complement of a(n-1)). A110395

Terms of A061047 ending in 0. A146950

Coefficients in q-expansion of E₂⁴ * E₆, where E₂ and E₆ are respectively the Eisenstein series A006352 and A013973. A386814

Pseudoperfect (or semiperfect) numbers k having more than one set of contiguous proper divisors whose sum equals k. A335742

Expansion of g.f. A(x) satisfying A(x)² = A( A(x)*(x + A(x)²) ). A371713

Number of different, not necessarily connected, labeled trivalent diagrams of size n. A121357