324 has 15 divisors (see below), whose sum is σ = 847. Its totient is φ = 108.

The previous prime is 317. The next prime is 331. The reversal of 324 is 423.

Subtracting from 324 its product of digits (24), we obtain a triangular number (300 = T_{24}).

Multipling 324 by its product of digits (24), we get a 5-th power (7776 = 6^{5}).

Adding to 324 its reverse (423), we get a palindrome (747).

Subtracting 324 from its reverse (423), we obtain a palindrome (99).

It can be divided in two parts, 32 and 4, that multiplied together give a 7-th power (128 = 2^{7}).

324 = T_{17} + T_{18}.

The square root of 324 is 18.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (317) and next prime (331).

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=3.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a Duffinian number.

It is a plaindrome in base 5, base 13, base 15 and base 16.

It is a nialpdrome in base 3, base 7 and base 9.

It is a zygodrome in base 3 and base 5.

It is an unprimeable number.

324 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 107 + 108 + 109.

324 is the 18-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324

324 is an abundant number, since it is smaller than the sum of its proper divisors (523).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324 is a wasteful number, since it uses less digits than its factorization.

324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16 (or 5 counting only the distinct ones).

The product of its digits is 24, while the sum is 9.

The cubic root of 324 is about 6.8682854553.

The spelling of 324 in words is "three hundred twenty-four", and thus it is an aban number and an iban number.

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