383104 has 32 divisors (see below), whose sum is σ = 792540. Its totient is φ = 184320.

The previous prime is 383101. The next prime is 383107. The reversal of 383104 is 401383.

It is an interprime number because it is at equal distance from previous prime (383101) and next prime (383107).

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 23104 = 600^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383101) by changing a digit.

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, 5212 + ... + 5284.

2³⁸³¹⁰⁴ 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 383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396270).

383104 is an abundant number, since it is smaller than the sum of its proper divisors (409436).

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

383104 is an equidigital number, since it uses as much as digits as its factorization.

383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 383104 is about 618.9539562843. The cubic root of 383104 is about 72.6282470457.

Adding to 383104 its reverse (401383), we get a palindrome (784487).

The spelling of 383104 in words is "three hundred eighty-three thousand, one hundred four".