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2344541664 = 25364737747
BaseRepresentation
bin1000101110111110…
…1101110111100000
320001101200001112110
42023233231313200
514300200313124
61024351355320
7112046163303
oct21357556740
96041601473
102344541664
11aa3483943
12555222b40
132b496bc7a
14183544b3a
15dac6e029
hex8bbedde0

2344541664 has 48 divisors (see below), whose sum is σ = 6164097408. Its totient is φ = 780285312.

The previous prime is 2344541659. The next prime is 2344541681. The reversal of 2344541664 is 4661454432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23445416642 = 10993751228463777792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43239 + ... + 80985.

It is an arithmetic number, because the mean of its divisors is an integer number (128418696).

Almost surely, 22344541664 is an apocalyptic number.

2344541664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2344541664 is an abundant number, since it is smaller than the sum of its proper divisors (3819555744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2344541664 is a wasteful number, since it uses less digits than its factorization.

2344541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38407 (or 38399 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 2344541664 is about 48420.4674079051. The cubic root of 2344541664 is about 1328.4727534927.

The spelling of 2344541664 in words is "two billion, three hundred forty-four million, five hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 647 1294 1941 2588 3882 5176 7764 10352 15528 20704 31056 37747 62112 75494 113241 150988 226482 301976 452964 603952 905928 1207904 1811856 3623712 24422309 48844618 73266927 97689236 146533854 195378472 293067708 390756944 586135416 781513888 1172270832 2344541664