321011140 has 48 divisors (see below), whose sum is σ = 693146160. Its totient is φ = 124805120.

The previous prime is 321011101. The next prime is 321011143. The reversal of 321011140 is 41110123.

It can be written as a sum of positive squares in 8 ways, for example, as 142468096 + 178543044 = 11936^2 + 13362^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 321011140.

It is not an unprimeable number, because it can be changed into a prime (321011143) by changing a digit.

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, 288906 + ... + 290014.

It is an arithmetic number, because the mean of its divisors is an integer number (14440545).

Almost surely, 2^321011140 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 321011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346573080).

321011140 is an abundant number, since it is smaller than the sum of its proper divisors (372135020).

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

321011140 is a wasteful number, since it uses less digits than its factorization.

321011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 321011140 is about 17916.7837515554. The cubic root of 321011140 is about 684.7100483112.

Adding to 321011140 its reverse (41110123), we get a palindrome (362121263).

The spelling of 321011140 in words is "three hundred twenty-one million, eleven thousand, one hundred forty".