Properties of the Number 324

Three Hundred Twenty-Four

Basics

Value: 323 → 324 → 325

Parity: even

Prime: No

Previous Prime: 317

Next Prime: 331

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000100

Octal: 504

Duodecimal: 230

Hexadecimal: 144

Square: 104976

Square Root: 18

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Moser-de Bruijn sequence: sums of distinct powers of 4. A695

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

Numbers all of whose prime divisors are consecutive primes starting at 2. A55932

Triangle read by rows: T(n,k), n >= 1, k >= 1, in which column k lists k copies of the positive squares in nondecreasing order, and the first element of column k is in row k(k+1)/2. A236104

a(n) = n*(n+3)/2. A96

Numbers whose base-3 representation contains no 2. A5836