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379760 = 24547101
BaseRepresentation
bin1011100101101110000
3201021221012
41130231300
544123020
612050052
73141113
oct1345560
9637835
10379760
1123a357
12163928
13103b14
149c57a
15777c5
hex5cb70

379760 has 40 divisors (see below), whose sum is σ = 910656. Its totient is φ = 147200.

The previous prime is 379751. The next prime is 379777. The reversal of 379760 is 67973.

It is a tau number, because it is divible by the number of its divisors (40).

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 379760.

It is an unprimeable number.

379760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3710 + ... + 3810.

2379760 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 379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455328).

379760 is an abundant number, since it is smaller than the sum of its proper divisors (530896).

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

379760 is a wasteful number, since it uses less digits than its factorization.

379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 32.

The square root of 379760 is about 616.2467038451. The cubic root of 379760 is about 72.4163124726.

The spelling of 379760 in words is "three hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 101 188 202 235 376 404 470 505 752 808 940 1010 1616 1880 2020 3760 4040 4747 8080 9494 18988 23735 37976 47470 75952 94940 189880 379760