Search a number
3804 = 223317
BaseRepresentation
bin111011011100
312012220
4323130
5110204
625340
714043
oct7334
95186
103804
112949
122250
131968
14155a
1511d9
hexedc

3804 has 12 divisors (see below), whose sum is σ = 8904. Its totient is φ = 1264.

The previous prime is 3803. The next prime is 3821. The reversal of 3804 is 4083.

3804 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

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 3804.

It is not an unprimeable number, because it can be changed into a prime (3803) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (742).

23804 is an apocalyptic number.

It is an amenable number.

3804 is an abundant number, since it is smaller than the sum of its proper divisors (5100).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452).

3804 is a wasteful number, since it uses less digits than its factorization.

3804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3804 is about 61.6765757804. The cubic root of 3804 is about 15.6103809931.

Adding to 3804 its reverse (4083), we get a palindrome (7887).

The spelling of 3804 in words is "three thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 317 634 951 1268 1902 3804