320228034 has 144 divisors (see below), whose sum is σ = 817024320. Its totient is φ = 83307840.

The previous prime is 320228021. The next prime is 320228107. The reversal of 320228034 is 430822023.

It is a junction number, because it is equal to n+sod(n) for n = 320227995 and 320228013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4510219 + ... + 4510289.

It is an arithmetic number, because the mean of its divisors is an integer number (5673780).

Almost surely, 2^320228034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320228034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408512160).

320228034 is an abundant number, since it is smaller than the sum of its proper divisors (496796286).

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

320228034 is a wasteful number, since it uses less digits than its factorization.

320228034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 320228034 is about 17894.9164289750. The cubic root of 320228034 is about 684.1528120327.

The spelling of 320228034 in words is "three hundred twenty million, two hundred twenty-eight thousand, thirty-four".