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379607976 = 233211243573
BaseRepresentation
bin10110101000000…
…101101110101000
3222110022002020200
4112220011232220
51234134423401
6101400152200
712256420536
oct2650055650
9873262220
10379607976
11185308100
12a7168660
1360851907
14385b7156
15234d6686
hex16a05ba8

379607976 has 72 divisors (see below), whose sum is σ = 1130091690. Its totient is φ = 115030080.

The previous prime is 379607951. The next prime is 379607983. The reversal of 379607976 is 679706973.

It can be written as a sum of positive squares in only one way, i.e., 379080900 + 527076 = 19470^2 + 726^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13075 + ... + 30498.

Almost surely, 2379607976 is an apocalyptic number.

379607976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379607976 is an abundant number, since it is smaller than the sum of its proper divisors (750483714).

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

379607976 is a wasteful number, since it uses less digits than its factorization.

379607976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43607 (or 43589 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 379607976 is about 19483.5308914991. The cubic root of 379607976 is about 724.0664804698.

The spelling of 379607976 in words is "three hundred seventy-nine million, six hundred seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 43573 87146 130719 174292 261438 348584 392157 479303 522876 784314 958606 1045752 1437909 1568628 1917212 2875818 3137256 3834424 4313727 5272333 5751636 8627454 10544666 11503272 15816999 17254908 21089332 31633998 34509816 42178664 47450997 63267996 94901994 126535992 189803988 379607976