312340000 has 240 divisors, whose sum is σ = 925803648. Its totient is φ = 101376000.

The previous prime is 312339991. The next prime is 312340001. The reversal of 312340000 is 43213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312340001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3219952 + ... + 3220048.

Almost surely, 2^312340000 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 312340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462901824).

312340000 is an abundant number, since it is smaller than the sum of its proper divisors (613463648).

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

312340000 is an equidigital number, since it uses as much as digits as its factorization.

312340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 312340000 is about 17673.1434668539. The cubic root of 312340000 is about 678.4885692257.

Adding to 312340000 its reverse (43213), we get a palindrome (312383213).

The spelling of 312340000 in words is "three hundred twelve million, three hundred forty thousand".