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379904 = 210753
BaseRepresentation
bin1011100110000000000
3201022010112
41130300000
544124104
612050452
73141410
oct1346000
9638115
10379904
1123a478
12163a28
13103bc5
149c640
157786e
hex5cc00

379904 has 44 divisors (see below), whose sum is σ = 884304. Its totient is φ = 159744.

The previous prime is 379903. The next prime is 379909. The reversal of 379904 is 409973.

It is a happy number.

379904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

379904 is a Rhonda number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379903) 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, 7142 + ... + 7194.

2379904 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 379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442152).

379904 is an abundant number, since it is smaller than the sum of its proper divisors (504400).

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

379904 is an equidigital number, since it uses as much as digits as its factorization.

379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 379904 is about 616.3635290963. The cubic root of 379904 is about 72.4254644205.

The spelling of 379904 in words is "three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1024 1484 1696 1792 2968 3392 3584 5936 6784 7168 11872 13568 23744 27136 47488 54272 94976 189952 379904