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2380368393 = 3213195918149
BaseRepresentation
bin1000110111100001…
…1000101000001001
320010220002020120100
42031320120220021
514333333242033
61032111320013
7112662540354
oct21570305011
96126066510
102380368393
111011724007
12565220009
132bc204110
141881cd29b
15dde99513
hex8de18a09

2380368393 has 48 divisors (see below), whose sum is σ = 3963960000. Its totient is φ = 1364148864.

The previous prime is 2380368349. The next prime is 2380368409. The reversal of 2380368393 is 3938630832.

It is not a de Polignac number, because 2380368393 - 210 = 2380367369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2380368593) 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 47 ways as a sum of consecutive naturals, for example, 122083 + ... + 140231.

It is an arithmetic number, because the mean of its divisors is an integer number (82582500).

Almost surely, 22380368393 is an apocalyptic number.

It is an amenable number.

2380368393 is a deficient number, since it is larger than the sum of its proper divisors (1583591607).

2380368393 is a wasteful number, since it uses less digits than its factorization.

2380368393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18246 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2380368393 is about 48789.0191846485. The cubic root of 2380368393 is about 1335.2053330591.

The spelling of 2380368393 in words is "two billion, three hundred eighty million, three hundred sixty-eight thousand, three hundred ninety-three".

Divisors: 1 3 9 13 19 39 57 59 117 171 177 247 531 741 767 1121 2223 2301 3363 6903 10089 14573 18149 43719 54447 131157 163341 235937 344831 707811 1034493 1070791 2123433 3103479 3212373 4482803 9637119 13448409 13920283 20345029 40345227 41760849 61035087 125282547 183105261 264485377 793456131 2380368393