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2324107681 = 72712972
BaseRepresentation
bin1000101010000111…
…0001000110100001
312222222012220101021
42022201301012201
514224432421211
61022341405441
7111410406100
oct21241610641
95888186337
102324107681
11a92997555
1254a409881
132b066615c
14180946037
15d9084771
hex8a8711a1

2324107681 has 27 divisors (see below), whose sum is σ = 2770729587. Its totient is φ = 1943786880.

The previous prime is 2324107679. The next prime is 2324107693. The reversal of 2324107681 is 1867014232.

The square root of 2324107681 is 48209.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1043613025 + 1280494656 = 32305^2 + 35784^2 .

It is not a de Polignac number, because 2324107681 - 21 = 2324107679 is a prime.

It is a super-2 number, since 2×23241076812 = 10802953025766395522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2324107631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23959825 + ... + 23959921.

Almost surely, 22324107681 is an apocalyptic number.

2324107681 is the 48209-th square number.

2324107681 is the 24105-th centered octagonal number.

It is an amenable number.

2324107681 is a deficient number, since it is larger than the sum of its proper divisors (446621906).

2324107681 is an frugal number, since it uses more digits than its factorization.

2324107681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The cubic root of 2324107681 is about 1324.6020271020.

The spelling of 2324107681 in words is "two billion, three hundred twenty-four million, one hundred seven thousand, six hundred eighty-one".

Divisors: 1 7 49 71 97 497 679 3479 4753 5041 6887 9409 35287 48209 65863 247009 337463 461041 488977 668039 3422839 4676273 23959873 32733911 47430769 332015383 2324107681