238305312 has 144 divisors (see below), whose sum is σ = 792792000. Its totient is φ = 66479616.

The previous prime is 238305311. The next prime is 238305313. The reversal of 238305312 is 213503832.

It is an interprime number because it is at equal distance from previous prime (238305311) and next prime (238305313).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×238305312⁴ (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (238305311) 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, 85314 + ... + 88062.

It is an arithmetic number, because the mean of its divisors is an integer number (5505500).

Almost surely, 2^238305312 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 238305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396396000).

238305312 is an abundant number, since it is smaller than the sum of its proper divisors (554486688).

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

238305312 is a wasteful number, since it uses less digits than its factorization.

238305312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 238305312 is about 15437.1406678828. The cubic root of 238305312 is about 619.9803254249.

The spelling of 238305312 in words is "two hundred thirty-eight million, three hundred five thousand, three hundred twelve".