321142240 has 96 divisors (see below), whose sum is σ = 825297984. Its totient is φ = 117596160.

The previous prime is 321142219. The next prime is 321142253. The reversal of 321142240 is 42241123.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 99045 + ... + 102235.

It is an arithmetic number, because the mean of its divisors is an integer number (8596854).

Almost surely, 2^321142240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412648992).

321142240 is an abundant number, since it is smaller than the sum of its proper divisors (504155744).

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

321142240 is a wasteful number, since it uses less digits than its factorization.

321142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 321142240 is about 17920.4419588357. The cubic root of 321142240 is about 684.8032468111.

Adding to 321142240 its reverse (42241123), we get a palindrome (363383363).

It can be divided in two parts, 3211 and 42240, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 321142240 in words is "three hundred twenty-one million, one hundred forty-two thousand, two hundred forty".