312042320 has 80 divisors (see below), whose sum is σ = 790128000. Its totient is φ = 114153984.

The previous prime is 312042317. The next prime is 312042343. The reversal of 312042320 is 23240213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40541 + ... + 47619.

It is an arithmetic number, because the mean of its divisors is an integer number (9876600).

Almost surely, 2^312042320 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 312042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395064000).

312042320 is an abundant number, since it is smaller than the sum of its proper divisors (478085680).

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

312042320 is a wasteful number, since it uses less digits than its factorization.

312042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 312042320 is about 17664.7196411378. The cubic root of 312042320 is about 678.2729530430.

Adding to 312042320 its reverse (23240213), we get a palindrome (335282533).

The spelling of 312042320 in words is "three hundred twelve million, forty-two thousand, three hundred twenty".