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3437110068 = 22371073791009
BaseRepresentation
bin1100110011011110…
…0010001100110100
322212112112021121220
43030313202030310
524014400010233
61325021110340
7151113645030
oct31467421464
98775467556
103437110068
111504182737
127bb0b83b0
1342a11a152
142486ab1c0
15151b37eb3
hexccde2334

3437110068 has 96 divisors (see below), whose sum is σ = 9284889600. Its totient is φ = 969325056.

The previous prime is 3437110067. The next prime is 3437110069. The reversal of 3437110068 is 8600117343.

3437110068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3437110067) and next prime (3437110069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437110063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3405948 + ... + 3406956.

It is an arithmetic number, because the mean of its divisors is an integer number (96717600).

Almost surely, 23437110068 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 3437110068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642444800).

3437110068 is an abundant number, since it is smaller than the sum of its proper divisors (5847779532).

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

3437110068 is a wasteful number, since it uses less digits than its factorization.

3437110068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3437110068 is about 58626.8715522157. The cubic root of 3437110068 is about 1509.1456166916.

The spelling of 3437110068 in words is "three billion, four hundred thirty-seven million, one hundred ten thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 379 428 642 749 758 1009 1137 1284 1498 1516 2018 2247 2274 2653 2996 3027 4036 4494 4548 5306 6054 7063 7959 8988 10612 12108 14126 15918 21189 28252 31836 40553 42378 81106 84756 107963 121659 162212 215926 243318 283871 323889 382411 431852 486636 567742 647778 755741 764822 851613 1135484 1147233 1295556 1511482 1529644 1703226 2267223 2294466 2676877 3022964 3406452 4534446 4588932 5353754 8030631 9068892 10707508 16061262 32122524 40917977 81835954 122753931 163671908 245507862 286425839 491015724 572851678 859277517 1145703356 1718555034 3437110068