313746048 has 384 divisors, whose sum is σ = 1176215040. Its totient is φ = 80870400.

The previous prime is 313746023. The next prime is 313746049. The reversal of 313746048 is 840647313.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (313746049) 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 47 ways as a sum of consecutive naturals, for example, 2394943 + ... + 2395073.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^313746048 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 313746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588107520).

313746048 is an abundant number, since it is smaller than the sum of its proper divisors (862468992).

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

313746048 is a wasteful number, since it uses less digits than its factorization.

313746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 313746048 is about 17712.8780270175. The cubic root of 313746048 is about 679.5051532437.

The spelling of 313746048 in words is "three hundred thirteen million, seven hundred forty-six thousand, forty-eight".