Search a number
-
+
38004 = 2233167
BaseRepresentation
bin1001010001110100
31221010120
421101310
52204004
6451540
7215541
oct112164
957116
1038004
112660a
1219bb0
13143b5
14dbc8
15b3d9
hex9474

38004 has 12 divisors (see below), whose sum is σ = 88704. Its totient is φ = 12664.

The previous prime is 37997. The next prime is 38011. The reversal of 38004 is 40083.

It is an interprime number because it is at equal distance from previous prime (37997) and next prime (38011).

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

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 38004.

It is an unprimeable number.

38004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1572 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (7392).

238004 is an apocalyptic number.

It is an amenable number.

38004 is an abundant number, since it is smaller than the sum of its proper divisors (50700).

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 (44352).

38004 is a wasteful number, since it uses less digits than its factorization.

38004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3172 counting only the distinct ones).

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

The square root of 38004 is about 194.9461464097. The cubic root of 38004 is about 33.6209336671.

Adding to 38004 its reverse (40083), we get a palindrome (78087).

The spelling of 38004 in words is "thirty-eight thousand, four".

Divisors: 1 2 3 4 6 12 3167 6334 9501 12668 19002 38004