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380094016 = 2624372
BaseRepresentation
bin10110101001111…
…100011001000000
3222111012202222011
4112221330121000
51234301002031
6101414422304
712263513551
oct2651743100
9874182864
10380094016
1118560a295
12a7361994
1360991c03
14386a2328
15235806b1
hex16a7c640

380094016 has 21 divisors (see below), whose sum is σ = 754558689. Its totient is φ = 189969024.

The previous prime is 380093977. The next prime is 380094019. The reversal of 380094016 is 610490083.

The square root of 380094016 is 19496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 357966400 + 22127616 = 18920^2 + 4704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380094019) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 154750 + ... + 157186.

Almost surely, 2380094016 is an apocalyptic number.

380094016 is the 19496-th square number.

It is an amenable number.

380094016 is a deficient number, since it is larger than the sum of its proper divisors (374464673).

380094016 is an frugal number, since it uses more digits than its factorization.

380094016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 380094016 is about 724.3753738568.

Multiplying 380094016 by its product of nonzero digits (5184), we get a square (1970407378944 = 14037122).

It can be divided in two parts, 38009 and 4016, that added together give a square (42025 = 2052).

The spelling of 380094016 in words is "three hundred eighty million, ninety-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 2437 4874 9748 19496 38992 77984 155968 5938969 11877938 23755876 47511752 95023504 190047008 380094016