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379616337 = 32371139989
BaseRepresentation
bin10110101000000…
…111110001010001
3222110022111201100
4112220013301101
51234140210322
6101400255013
712256454112
oct2650076121
9873274640
10379616337
11185313411
12a7171469
1360855669
14385ba209
15234d8dac
hex16a07c51

379616337 has 12 divisors (see below), whose sum is σ = 563155060. Its totient is φ = 246237408.

The previous prime is 379616329. The next prime is 379616383. The reversal of 379616337 is 733616973.

379616337 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 1 + 633 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 63345681 = 17784^2 + 7959^2 .

It is not a de Polignac number, because 379616337 - 23 = 379616329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 379616292 and 379616301.

It is not an unprimeable number, because it can be changed into a prime (379616317) 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 11 ways as a sum of consecutive naturals, for example, 569662 + ... + 570327.

Almost surely, 2379616337 is an apocalyptic number.

379616337 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

379616337 is a deficient number, since it is larger than the sum of its proper divisors (183538723).

379616337 is a wasteful number, since it uses less digits than its factorization.

379616337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140032 (or 1140029 counting only the distinct ones).

The product of its digits is 428652, while the sum is 45.

The square root of 379616337 is about 19483.7454561488. The cubic root of 379616337 is about 724.0717963709.

The spelling of 379616337 in words is "three hundred seventy-nine million, six hundred sixteen thousand, three hundred thirty-seven".

Divisors: 1 3 9 37 111 333 1139989 3419967 10259901 42179593 126538779 379616337