312348 has 12 divisors (see below), whose sum is σ = 728840. Its totient is φ = 104112.

The previous prime is 312343. The next prime is 312349. The reversal of 312348 is 843213.

312348 = 27² + 28² + ... + 98².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×312348² = 195122546208, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312348.

It is not an unprimeable number, because it can be changed into a prime (312343) by changing a digit.

312348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13003 + ... + 13026.

2³¹²³⁴⁸ is an apocalyptic number.

It is an amenable number.

312348 is an abundant number, since it is smaller than the sum of its proper divisors (416492).

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

312348 is a wasteful number, since it uses less digits than its factorization.

312348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26036 (or 26034 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 312348 is about 558.8810249060. The cubic root of 312348 is about 67.8494361911.

The spelling of 312348 in words is "three hundred twelve thousand, three hundred forty-eight".