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348023642868 = 223211887990809
BaseRepresentation
bin1010001000001111101…
…00110101101011110100
31020021022100212212001200
411010013310311223310
521200223023032433
6423514014252500
734100231104056
oct5040764655364
91207270785050
10348023642868
11124661300a50
12575484b7130
1326a842b1835
1412bb71ad8d6
1590bd7b1613
hex5107d35af4

348023642868 has 72 divisors (see below), whose sum is σ = 960784493760. Its totient is φ = 105342706560.

The previous prime is 348023642867. The next prime is 348023642893. The reversal of 348023642868 is 868246320843.

348023642868 is a `hidden beast` number, since 3 + 480 + 23 + 64 + 2 + 86 + 8 = 666.

It is a super-2 number, since 2×3480236428682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348023642867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144153 + ... + 846656.

It is an arithmetic number, because the mean of its divisors is an integer number (13344229080).

Almost surely, 2348023642868 is an apocalyptic number.

It is an amenable number.

348023642868 is an abundant number, since it is smaller than the sum of its proper divisors (612760850892).

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

348023642868 is a wasteful number, since it uses less digits than its factorization.

348023642868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991717 (or 991712 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 348023642868 in words is "three hundred forty-eight billion, twenty-three million, six hundred forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 887 1774 2661 3548 5322 7983 9757 10644 15966 19514 29271 31932 39028 58542 87813 117084 175626 351252 990809 1981618 2972427 3963236 5944854 8917281 10898899 11889708 17834562 21797798 32696697 35669124 43595596 65393394 98090091 130786788 196180182 392360364 878847583 1757695166 2636542749 3515390332 5273085498 7909628247 9667323413 10546170996 15819256494 19334646826 29001970239 31638512988 38669293652 58003940478 87005910717 116007880956 174011821434 348023642868