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2304013393 = 11280923537
BaseRepresentation
bin1000100101010100…
…0111010001010001
312221120102000012101
42021111013101101
514204311412033
61020343000401
7111044535133
oct21125072121
95846360171
102304013393
11a82612400
12543739101
132a944bb46
1417bdd5053
15d741597d
hex89547451

2304013393 has 12 divisors (see below), whose sum is σ = 2535748740. Its totient is φ = 2091879680.

The previous prime is 2304013391. The next prime is 2304013423. The reversal of 2304013393 is 3933104032.

It can be written as a sum of positive squares in 2 ways, for example, as 1442708289 + 861305104 = 37983^2 + 29348^2 .

It is not a de Polignac number, because 2304013393 - 21 = 2304013391 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2304013391) 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, 86121 + ... + 109657.

It is an arithmetic number, because the mean of its divisors is an integer number (211312395).

Almost surely, 22304013393 is an apocalyptic number.

It is an amenable number.

2304013393 is a deficient number, since it is larger than the sum of its proper divisors (231735347).

2304013393 is a wasteful number, since it uses less digits than its factorization.

2304013393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24368 (or 24357 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 2304013393 is about 48000.1395102139. The cubic root of 2304013393 is about 1320.7734587376.

The spelling of 2304013393 in words is "two billion, three hundred four million, thirteen thousand, three hundred ninety-three".

Divisors: 1 11 121 809 8899 23537 97889 258907 2847977 19041433 209455763 2304013393