321150240 has 144 divisors (see below), whose sum is σ = 1109541888. Its totient is φ = 84576768.

The previous prime is 321150239. The next prime is 321150259. The reversal of 321150240 is 42051123.

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118177 + ... + 120863.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2^321150240 is an apocalyptic number.

321150240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554770944).

321150240 is an abundant number, since it is smaller than the sum of its proper divisors (788391648).

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

321150240 is a wasteful number, since it uses less digits than its factorization.

321150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 321150240 is about 17920.6651662264. The cubic root of 321150240 is about 684.8089331600.

The spelling of 321150240 in words is "three hundred twenty-one million, one hundred fifty thousand, two hundred forty".