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2312442306 = 2321727492
BaseRepresentation
bin1000100111010101…
…0001000111000010
312222011021020111100
42021311101013002
514213441123211
61021243355230
7111206302206
oct21165210702
95864236440
102312442306
11a8734a149
12546522b16
132ab110575
1417d18ab06
15d802d156
hex89d511c2

2312442306 has 36 divisors (see below), whose sum is σ = 5306945202. Its totient is φ = 725208192.

The previous prime is 2312442247. The next prime is 2312442337. The reversal of 2312442306 is 6032442132.

2312442306 is a `hidden beast` number, since 2 + 312 + 4 + 42 + 306 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1402877025 + 909565281 = 37455^2 + 30159^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2312442306.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 839820 + ... + 842568.

Almost surely, 22312442306 is an apocalyptic number.

2312442306 is an abundant number, since it is smaller than the sum of its proper divisors (2994502896).

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

2312442306 is an equidigital number, since it uses as much as digits as its factorization.

2312442306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2312442306 is about 48087.8602767892. The cubic root of 2312442306 is about 1322.3821207273.

Adding to 2312442306 its reverse (6032442132), we get a palindrome (8344884438).

The spelling of 2312442306 in words is "two billion, three hundred twelve million, four hundred forty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2749 5498 8247 16494 24741 46733 49482 93466 140199 280398 420597 841194 7557001 15114002 22671003 45342006 68013009 128469017 136026018 256938034 385407051 770814102 1156221153 2312442306