312340896 has 108 divisors (see below), whose sum is σ = 1033281522. Its totient is φ = 89236224.

The previous prime is 312340891. The next prime is 312340907. The reversal of 312340896 is 698043213.

It can be written as a sum of positive squares in only one way, i.e., 268304400 + 44036496 = 16380^2 + 6636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312340896.

It is not an unprimeable number, because it can be changed into a prime (312340891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3046 + ... + 25178.

Almost surely, 2^312340896 is an apocalyptic number.

312340896 is a gapful number since it is divisible by the number (36) 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 312340896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516640761).

312340896 is an abundant number, since it is smaller than the sum of its proper divisors (720940626).

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

312340896 is a wasteful number, since it uses less digits than its factorization.

312340896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22163 (or 22145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 312340896 is about 17673.1688160330. The cubic root of 312340896 is about 678.4892180114.

It can be divided in two parts, 312340 and 896, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 312340896 in words is "three hundred twelve million, three hundred forty thousand, eight hundred ninety-six".