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386768016 = 24327336793
BaseRepresentation
bin10111000011011…
…001110010010000
3222221202211222100
4113003121302100
51243003034031
6102213440400
712404321355
oct2703316220
9887684870
10386768016
11189358598
12a9640100
136218a91b
143951c62c
1523e4cde6
hex170d9c90

386768016 has 60 divisors (see below), whose sum is σ = 1097270668. Its totient is φ = 127153152.

The previous prime is 386767991. The next prime is 386768033. The reversal of 386768016 is 610867683.

It can be written as a sum of positive squares in 2 ways, for example, as 107744400 + 279023616 = 10380^2 + 16704^2 .

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 11 ways as a sum of consecutive naturals, for example, 7885 + ... + 28908.

Almost surely, 2386768016 is an apocalyptic number.

386768016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

386768016 is an abundant number, since it is smaller than the sum of its proper divisors (710502652).

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

386768016 is a wasteful number, since it uses less digits than its factorization.

386768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36880 (or 36871 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 386768016 is about 19666.4184843097. The cubic root of 386768016 is about 728.5905223534.

The spelling of 386768016 in words is "three hundred eighty-six million, seven hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 10512 36793 73586 110379 147172 220758 294344 331137 441516 588688 662274 883032 1324548 1766064 2649096 2685889 5298192 5371778 8057667 10743556 16115334 21487112 24173001 32230668 42974224 48346002 64461336 96692004 128922672 193384008 386768016