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2305668312 = 233294134031
BaseRepresentation
bin1000100101101101…
…1011010011011000
312221200112002022200
42021123123103120
514210222341222
61020442250200
7111064600023
oct21133332330
95850462280
102305668312
11a83542802
125441b6960
132a98ab19c
1417c3061ba
15d7640eac
hex896db4d8

2305668312 has 48 divisors (see below), whose sum is σ = 6251338080. Its totient is φ = 767716800.

The previous prime is 2305668311. The next prime is 2305668347. The reversal of 2305668312 is 2138665032.

It is a happy number.

2305668312 is a `hidden beast` number, since 2 + 3 + 0 + 566 + 83 + 12 = 666.

2305668312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23056683122 = 10632212729921858688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305668311) 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, 50737 + ... + 84767.

It is an arithmetic number, because the mean of its divisors is an integer number (130236210).

Almost surely, 22305668312 is an apocalyptic number.

It is an amenable number.

2305668312 is an abundant number, since it is smaller than the sum of its proper divisors (3945669768).

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

2305668312 is a wasteful number, since it uses less digits than its factorization.

2305668312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34984 (or 34977 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2305668312 is about 48017.3751052679. The cubic root of 2305668312 is about 1321.0896099627.

The spelling of 2305668312 in words is "two billion, three hundred five million, six hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 941 1882 2823 3764 5646 7528 8469 11292 16938 22584 33876 34031 67752 68062 102093 136124 204186 272248 306279 408372 612558 816744 1225116 2450232 32023171 64046342 96069513 128092684 192139026 256185368 288208539 384278052 576417078 768556104 1152834156 2305668312