312340320 has 192 divisors, whose sum is σ = 1157768640. Its totient is φ = 78372864.

The previous prime is 312340319. The next prime is 312340331. The reversal of 312340320 is 23043213.

312340320 is a `hidden beast` number, since 3 + 1 + 2 + 340 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312340293 and 312340302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71314 + ... + 75566.

It is an arithmetic number, because the mean of its divisors is an integer number (6030045).

Almost surely, 2^312340320 is an apocalyptic number.

312340320 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 312340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578884320).

312340320 is an abundant number, since it is smaller than the sum of its proper divisors (845428320).

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

312340320 is a wasteful number, since it uses less digits than its factorization.

312340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4280 counting only the distinct ones).

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

The square root of 312340320 is about 17673.1525201363. The cubic root of 312340320 is about 678.4888009350.

Adding to 312340320 its reverse (23043213), we get a palindrome (335383533).

The spelling of 312340320 in words is "three hundred twelve million, three hundred forty thousand, three hundred twenty".