Properties of the Number 30668

Thirty Thousand Six Hundred Sixty-Eight

Basics

Value: 30667 → 30668 → 30669

Parity: even

Prime: No

Previous Prime: 30661

Next Prime: 30671

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 17 × 41

Divisors: 1, 2, 4, 11, 17, 22, 34, 41, 44, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011111001100

Octal: 73714

Duodecimal: 158B8

Hexadecimal: 77cc

Square: 940526224

Square Root: 175.12281404774194

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

Symmetric difference of the primitive non-deficient numbers and the primitive Zumkeller numbers. A378538

Numbers that are primitive Zumkeller, but not primitive non-deficient. A378657

O.g.f.: ∑_n>=0 nⁿ * (1+n·x)^2·n * xⁿ/n! * exp(-n·x*(1+n·x)²). A218677

G.f. = b(2)*b(6)*b(10)/(x¹⁴+x¹²-x⁵-x³-x+1), where b(k) = (1-x^k)/(1-x). A266334

Decimal part of a(n)^1/5 starts with a 'nine digits' anagram. A34280

Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 4 which is flat, i.e., with all blocks in parallel position. A123780

Smallest nontrivial extension of n which is a cube. A30668

Smallest prime that is the sum of a square and a positive cube in n different ways. A173795