Properties of the Number 30429

Thirty Thousand Four Hundred Twenty-Nine

Basics

Value: 30428 → 30429 → 30430

Parity: odd

Prime: No

Previous Prime: 30427

Next Prime: 30431

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 ² × 23

Divisors: 1, 3, 7, 9, 21, 23, 27, 49, 63, 69

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011011011101

Octal: 73335

Duodecimal: 15739

Hexadecimal: 76dd

Square: 925924041

Square Root: 174.43910112127958

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 non-isomorphic multiset partitions of size n such that the blocks have empty intersection. A317757

Numbers that are the sum of four third powers in eight or more ways. A345152

Numbers that are the sum of four third powers in seven or more ways. A345150

Numbers that are the sum of four third powers in exactly eight ways. A345153

a(n) = A351477(n) * FA where F is the Fermat point of a primitive integer-sided triangle ABC with A < B < C < 2*π/3 and FA + FB + FC = A336329(n). A351801

Numbers·such that the sum of all their cyclic permutations is equal to that of all cyclic permutations of σ(x) and all cyclic permutations of Euler totient function φ(x). A247317

a(n)=x is the smallest number such that gcd(prime(x)-1, x) = n. A84313

Same triangle as A106243, but with rows read in boustrophedon manner, i.e., in the order in which they were created. A106242

Irregular triangle read by rows: T(n,k), n >= 2, 1 <= k <= n/2, = number of rooted forests with n nodes and k trees, with at least two nodes in each tree. A174135

The greater of the lexicographically least pair (x, y) such that 0 < x < y and σ(x) = σ(y) = n + x + y. A285890