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868368340 = 225771199439
BaseRepresentation
bin110011110000100…
…011111111010100
32020111222200102101
4303300203333110
53234300241330
6222100051444
730343003060
oct6360437724
92214880371
10868368340
11406197a94
12202993b84
1310ab9cb28
1483484aa0
155137e4ca
hex33c23fd4

868368340 has 96 divisors (see below), whose sum is σ = 2128896000. Its totient is φ = 291392640.

The previous prime is 868368331. The next prime is 868368341. The reversal of 868368340 is 43863868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868368341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977841 + ... + 1978279.

It is an arithmetic number, because the mean of its divisors is an integer number (22176000).

Almost surely, 2868368340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868368340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448000).

868368340 is an abundant number, since it is smaller than the sum of its proper divisors (1260527660).

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

868368340 is a wasteful number, since it uses less digits than its factorization.

868368340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 868368340 is about 29468.0901994004. The cubic root of 868368340 is about 954.0430973210.

The spelling of 868368340 in words is "eight hundred sixty-eight million, three hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 199 284 355 398 439 497 710 796 878 994 995 1393 1420 1756 1988 1990 2195 2485 2786 3073 3980 4390 4970 5572 6146 6965 8780 9940 12292 13930 14129 15365 27860 28258 30730 31169 56516 61460 62338 70645 87361 98903 124676 141290 155845 174722 197806 218183 282580 311690 349444 395612 436366 436805 494515 611527 623380 872732 873610 989030 1090915 1223054 1747220 1978060 2181830 2446108 3057635 4363660 6115270 6202631 12230540 12405262 24810524 31013155 43418417 62026310 86836834 124052620 173673668 217092085 434184170 868368340