320349312 has 192 divisors, whose sum is σ = 980179200. Its totient is φ = 100251648.

The previous prime is 320349301. The next prime is 320349317. The reversal of 320349312 is 213943023.

It is a happy number.

320349312 is a `hidden beast` number, since 3 + 2 + 0 + 349 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (320349317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436433 + ... + 1436655.

It is an arithmetic number, because the mean of its divisors is an integer number (5105100).

Almost surely, 2^320349312 is an apocalyptic number.

320349312 is a gapful number since it is divisible by the number (32) 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 320349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490089600).

320349312 is an abundant number, since it is smaller than the sum of its proper divisors (659829888).

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

320349312 is a wasteful number, since it uses less digits than its factorization.

320349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 320349312 is about 17898.3047241911. The cubic root of 320349312 is about 684.2391694651.

The spelling of 320349312 in words is "three hundred twenty million, three hundred forty-nine thousand, three hundred twelve".