324131400 has 72 divisors (see below), whose sum is σ = 1088547330. Its totient is φ = 86434560.

The previous prime is 324131383. The next prime is 324131429. The reversal of 324131400 is 4131423.

It can be written as a sum of positive squares in 3 ways, for example, as 178543044 + 145588356 = 13362^2 + 12066^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×324131400² = 210122328931920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 88237 + ... + 91836.

Almost surely, 2^324131400 is an apocalyptic number.

324131400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

324131400 is an abundant number, since it is smaller than the sum of its proper divisors (764415930).

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

324131400 is a wasteful number, since it uses less digits than its factorization.

324131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180095 (or 180083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 324131400 is about 18003.6496300056. The cubic root of 324131400 is about 686.9213820271.

Adding to 324131400 its reverse (4131423), we get a palindrome (328262823).

The spelling of 324131400 in words is "three hundred twenty-four million, one hundred thirty-one thousand, four hundred".