322313040 has 160 divisors (see below), whose sum is σ = 1268847360. Its totient is φ = 73668096.

The previous prime is 322313029. The next prime is 322313051. The reversal of 322313040 is 40313223.

It is an interprime number because it is at equal distance from previous prime (322313029) and next prime (322313051).

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

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 31 ways as a sum of consecutive naturals, for example, 4462 + ... + 25778.

It is an arithmetic number, because the mean of its divisors is an integer number (7930296).

Almost surely, 2^322313040 is an apocalyptic number.

322313040 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 322313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634423680).

322313040 is an abundant number, since it is smaller than the sum of its proper divisors (946534320).

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

322313040 is a wasteful number, since it uses less digits than its factorization.

322313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346 (or 21334 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 322313040 is about 17953.0788445882. The cubic root of 322313040 is about 685.6344415962.

Adding to 322313040 its reverse (40313223), we get a palindrome (362626263).

The spelling of 322313040 in words is "three hundred twenty-two million, three hundred thirteen thousand, forty".