312349856 has 144 divisors (see below), whose sum is σ = 785078784. Its totient is φ = 119688192.

The previous prime is 312349853. The next prime is 312349871. The reversal of 312349856 is 658943213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312349853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400561 + ... + 1400783.

It is an arithmetic number, because the mean of its divisors is an integer number (5451936).

Almost surely, 2^312349856 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 312349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392539392).

312349856 is an abundant number, since it is smaller than the sum of its proper divisors (472728928).

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

312349856 is a wasteful number, since it uses less digits than its factorization.

312349856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 312349856 is about 17673.4223058241. The cubic root of 312349856 is about 678.4957058001.

The spelling of 312349856 in words is "three hundred twelve million, three hundred forty-nine thousand, eight hundred fifty-six".