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2345068208 = 2471131271459
BaseRepresentation
bin1000101111000110…
…1110011010110000
320001102122210211002
42023301232122300
514300314140313
61024410541132
7112053515360
oct21361563260
96042583732
102345068208
11aa38034aa
125554377a8
132b4ac4832
141836409a0
15dad25058
hex8bc6e6b0

2345068208 has 80 divisors (see below), whose sum is σ = 5283471360. Its totient is φ = 987614208.

The previous prime is 2345068189. The next prime is 2345068241. The reversal of 2345068208 is 8028605432.

2345068208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1606583 + ... + 1608041.

It is an arithmetic number, because the mean of its divisors is an integer number (66043392).

Almost surely, 22345068208 is an apocalyptic number.

2345068208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345068208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641735680).

2345068208 is an abundant number, since it is smaller than the sum of its proper divisors (2938403152).

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

2345068208 is a wasteful number, since it uses less digits than its factorization.

2345068208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2345068208 is about 48425.9043075088. The cubic root of 2345068208 is about 1328.5721968095.

The spelling of 2345068208 in words is "two billion, three hundred forty-five million, sixty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 127 226 254 452 508 791 889 904 1016 1459 1582 1778 1808 2032 2918 3164 3556 5836 6328 7112 10213 11672 12656 14224 14351 20426 23344 28702 40852 57404 81704 100457 114808 163408 164867 185293 200914 229616 329734 370586 401828 659468 741172 803656 1154069 1297051 1318936 1482344 1607312 2308138 2594102 2637872 2964688 4616276 5188204 9232552 10376408 18465104 20752816 20938109 41876218 83752436 146566763 167504872 293133526 335009744 586267052 1172534104 2345068208