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379944 = 23331759
BaseRepresentation
bin1011100110000101000
3201022012000
41130300220
544124234
612051000
73141465
oct1346050
9638160
10379944
1123a504
12163a60
13103c26
149c66c
1577899
hex5cc28

379944 has 32 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 126576.

The previous prime is 379931. The next prime is 379963. The reversal of 379944 is 449973.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 379899 and 379908.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379944.

It is an unprimeable number.

379944 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, 664 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (33000).

2379944 is an apocalyptic number.

It is an amenable number.

379944 is an abundant number, since it is smaller than the sum of its proper divisors (676056).

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

379944 is a wasteful number, since it uses less digits than its factorization.

379944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1764 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 379944 is about 616.3959766254. The cubic root of 379944 is about 72.4280062179.

The spelling of 379944 in words is "three hundred seventy-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1759 3518 5277 7036 10554 14072 15831 21108 31662 42216 47493 63324 94986 126648 189972 379944