319542048 has 144 divisors (see below), whose sum is σ = 1072221696. Its totient is φ = 88335360.

The previous prime is 319542043. The next prime is 319542071. The reversal of 319542048 is 840245913.

319542048 is a `hidden beast` number, since 3 + 195 + 420 + 48 = 666.

319542048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 (319542043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59940 + ... + 65052.

It is an arithmetic number, because the mean of its divisors is an integer number (7445984).

Almost surely, 2^319542048 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 319542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536110848).

319542048 is an abundant number, since it is smaller than the sum of its proper divisors (752679648).

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

319542048 is a wasteful number, since it uses less digits than its factorization.

319542048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 319542048 is about 17875.7390896153. The cubic root of 319542048 is about 683.6639366871.

The spelling of 319542048 in words is "three hundred nineteen million, five hundred forty-two thousand, forty-eight".