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2344320513 = 32263398929
BaseRepresentation
bin1000101110111011…
…0111111000000001
320001101020211011200
42023232313320001
514300121224023
61024342531413
7112044252453
oct21356677001
96041224150
102344320513
11aa3342777
12555136b69
132b48c2402
141834c82d3
15dac28743
hex8bbb7e01

2344320513 has 12 divisors (see below), whose sum is σ = 3387561060. Its totient is φ = 1562270976.

The previous prime is 2344320457. The next prime is 2344320521. The reversal of 2344320513 is 3150234432.

2344320513 is a `hidden beast` number, since 2 + 3 + 443 + 205 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 348643584 + 1995676929 = 18672^2 + 44673^2 .

It is not a de Polignac number, because 2344320513 - 29 = 2344320001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2344320523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25768 + ... + 73161.

It is an arithmetic number, because the mean of its divisors is an integer number (282296755).

Almost surely, 22344320513 is an apocalyptic number.

It is an amenable number.

2344320513 is a deficient number, since it is larger than the sum of its proper divisors (1043240547).

2344320513 is a wasteful number, since it uses less digits than its factorization.

2344320513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101568 (or 101565 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2344320513 is about 48418.1837019936. The cubic root of 2344320513 is about 1328.4309823837.

Adding to 2344320513 its reverse (3150234432), we get a palindrome (5494554945).

It can be divided in two parts, 23443 and 20513, that added together give a triangular number (43956 = T296).

The spelling of 2344320513 in words is "two billion, three hundred forty-four million, three hundred twenty thousand, five hundred thirteen".

Divisors: 1 3 9 2633 7899 23697 98929 296787 890361 260480057 781440171 2344320513