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2312724240 = 243253212117
BaseRepresentation
bin1000100111011001…
…0101111100010000
312222011210120020100
42021312111330100
514214024133430
61021253412400
7111211555161
oct21166257420
95864716210
102312724240
11a87521a52
1254663a100
132ab1ab9a8
1417d221768
15d8086960
hex89d95f10

2312724240 has 60 divisors (see below), whose sum is σ = 7766901324. Its totient is φ = 616726272.

The previous prime is 2312724203. The next prime is 2312724247. The reversal of 2312724240 is 424272132.

2312724240 is a `hidden beast` number, since 231 + 2 + 7 + 2 + 424 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 520387344 + 1792336896 = 22812^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2312724247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1605339 + ... + 1606778.

Almost surely, 22312724240 is an apocalyptic number.

2312724240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312724240 is an abundant number, since it is smaller than the sum of its proper divisors (5454177084).

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

2312724240 is a wasteful number, since it uses less digits than its factorization.

2312724240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212136 (or 3212127 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2312724240 is about 48090.7916341580. The cubic root of 2312724240 is about 1322.4358603499.

Adding to 2312724240 its reverse (424272132), we get a palindrome (2736996372).

The spelling of 2312724240 in words is "two billion, three hundred twelve million, seven hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3212117 6424234 9636351 12848468 16060585 19272702 25696936 28909053 32121170 38545404 48181755 51393872 57818106 64242340 77090808 96363510 115636212 128484680 144545265 154181616 192727020 231272424 256969360 289090530 385454040 462544848 578181060 770908080 1156362120 2312724240