384307104 has 96 divisors (see below), whose sum is σ = 1040195520. Its totient is φ = 124160000.

The previous prime is 384307103. The next prime is 384307153. The reversal of 384307104 is 401703483.

384307104 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 (96).

It is not an unprimeable number, because it can be changed into a prime (384307103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 987742 + ... + 988130.

It is an arithmetic number, because the mean of its divisors is an integer number (10835370).

Almost surely, 2^384307104 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 384307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520097760).

384307104 is an abundant number, since it is smaller than the sum of its proper divisors (655888416).

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

384307104 is a wasteful number, since it uses less digits than its factorization.

384307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 384307104 is about 19603.7522938850. The cubic root of 384307104 is about 727.0419511270.

The spelling of 384307104 in words is "three hundred eighty-four million, three hundred seven thousand, one hundred four".