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3434681068 = 2272133673673
BaseRepresentation
bin1100110010111001…
…0001001011101100
322212100221212122221
43030232101023230
524013234243233
61324453045124
7151054210300
oct31456211354
98770855587
103434681068
1115028737a5
127ba3267a4
13429779680
14248237d00
1515180842d
hexccb912ec

3434681068 has 72 divisors (see below), whose sum is σ = 7552450752. Its totient is φ = 1354703616.

The previous prime is 3434681027. The next prime is 3434681077. The reversal of 3434681068 is 8601864343.

3434681068 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 23 ways as a sum of consecutive naturals, for example, 933280 + ... + 936952.

Almost surely, 23434681068 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 3434681068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776225376).

3434681068 is an abundant number, since it is smaller than the sum of its proper divisors (4117769684).

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

3434681068 is a wasteful number, since it uses less digits than its factorization.

3434681068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 3434681068 is about 58606.1521343963. The cubic root of 3434681068 is about 1508.7900293438.

The spelling of 3434681068 in words is "three billion, four hundred thirty-four million, six hundred eighty-one thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 367 637 734 1274 1468 2548 2569 3673 4771 5138 7346 9542 10276 14692 17983 19084 25711 33397 35966 47749 51422 66794 71932 95498 102844 133588 179977 190996 233779 334243 359954 467558 668486 719908 935116 1336972 1347991 2339701 2695982 4679402 5391964 9358804 9435937 17523883 18871874 35047766 37743748 66051559 70095532 122667181 132103118 245334362 264206236 490668724 858670267 1717340534 3434681068