Properties of the Number 30345

Thirty Thousand Three Hundred Forty-Five

Basics

Value: 30344 → 30345 → 30346

Parity: odd

Prime: No

Previous Prime: 30341

Next Prime: 30347

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 17 ²

Divisors: 1, 3, 5, 7, 15, 17, 21, 35, 51, 85

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011010001001

Octal: 73211

Duodecimal: 15689

Hexadecimal: 7689

Square: 920819025

Square Root: 174.19816302131318

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) = (n+1)²*(n+2)*(2·n+3)/6. A108678

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k up-down cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be up-down if, when written with its smallest element in the first position, it satisfies b(1)<b(2)>b(3)<... . A186358

Antidiagonal sums of the convolution array A213849. A213850

Total number of inversions in all partitions of n into distinct parts. A271371

Numerators of continued fraction convergents to sqrt(742). A42428

Fourth column (m=5) of array A090452. A90454

One fifth of the sum of the first n primes, when an integer. A112271

Expansion of 1/(x^k*(1-x-2·x^k+1)) for k=8. A143451

Number of 3n-length 9-ary words, either empty or beginning with the first letter of the alphabet, that can be built by repeatedly inserting triples of identical letters into the initially empty word. A218479

Sequence related to the Hankel transform of A105523(n+5). A181474