312838344 has 288 divisors, whose sum is σ = 1120392000. Its totient is φ = 77946624.

The previous prime is 312838319. The next prime is 312838381. The reversal of 312838344 is 443838213.

It is a happy number.

312838344 is a `hidden beast` number, since 31 + 283 + 8 + 344 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312838299 and 312838308.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 871237 + ... + 871595.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^312838344 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 312838344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196000).

312838344 is an abundant number, since it is smaller than the sum of its proper divisors (807553656).

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

312838344 is a wasteful number, since it uses less digits than its factorization.

312838344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 312838344 is about 17687.2367542248. The cubic root of 312838344 is about 678.8492243247.

The spelling of 312838344 in words is "three hundred twelve million, eight hundred thirty-eight thousand, three hundred forty-four".