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379968 = 2631979
BaseRepresentation
bin1011100110001000000
3201022012220
41130301000
544124333
612051040
73141531
oct1346100
9638186
10379968
1123a526
12163a80
13103c44
149c688
15778b3
hex5cc40

379968 has 28 divisors (see below), whose sum is σ = 1005840. Its totient is φ = 126592.

The previous prime is 379963. The next prime is 379979. The reversal of 379968 is 869973.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (379963) by changing a digit.

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, 798 + ... + 1181.

2379968 is an apocalyptic number.

It is an amenable number.

379968 is an abundant number, since it is smaller than the sum of its proper divisors (625872).

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

379968 is a wasteful number, since it uses less digits than its factorization.

379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 379968 is about 616.4154443231. The cubic root of 379968 is about 72.4295312106.

The spelling of 379968 in words is "three hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1979 3958 5937 7916 11874 15832 23748 31664 47496 63328 94992 126656 189984 379968