Properties of the Number 30828

Thirty Thousand Eight Hundred Twenty-Eight

Basics

Value: 30827 → 30828 → 30829

Parity: even

Prime: No

Previous Prime: 30817

Next Prime: 30829

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 367

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100001101100

Octal: 74154

Duodecimal: 15A10

Hexadecimal: 786c

Square: 950365584

Square Root: 175.57904202950874

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

Euler transform of A027656(n-1). A35528

Integers n such that the number of digits in n! is a cube. A56851

a(n) = 324·n² - 804·n + 468 (n>=2). A304619

Number of partitions of n with equal number of parts congruent to each of 0 and 4 (mod 5). A35555

Numbers m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,39. A64256

T(n, k) is the total number of symmetric peaks in all partitions of n with exactly k blocks, n >= 3, 2 <= k <= n-1. A373288

Weight enumerator of [64,30,14] extended BCH code. A109486

S(n) - the sum of the areas of the polygons constructed from connecting with a straight line all identical members in the multiplicative table modulo n (finite field). A157023

a(n) = (n + 1)*(4·n² + 14·n + 9)/3. A268484

Triangle read by rows, T(n,m) = (1/n)*∑_i=1..n C(n,i-1)*C(n,i)*C(n,m+1-i), T(0,0)=0, m<2n. A296186