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688343886 = 233611012069
BaseRepresentation
bin101001000001110…
…100101101001110
31202222020111022000
4221001310231032
52402204001021
6152145333130
723025553326
oct5101645516
91688214260
10688343886
11323608a4a
121726371a6
13ac7baa99
14675c2286
154066db26
hex29074b4e

688343886 has 64 divisors (see below), whose sum is σ = 1570881600. Its totient is φ = 223344000.

The previous prime is 688343867. The next prime is 688343897.

It is a happy number.

688343886 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331660 + ... + 333728.

It is an arithmetic number, because the mean of its divisors is an integer number (24545025).

Almost surely, 2688343886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688343886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785440800).

688343886 is an abundant number, since it is smaller than the sum of its proper divisors (882537714).

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

688343886 is a wasteful number, since it uses less digits than its factorization.

688343886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2236 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 688343886 is about 26236.3085436957. The cubic root of 688343886 is about 882.9480527286.

The spelling of 688343886 in words is "six hundred eighty-eight million, three hundred forty-three thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 61 101 122 183 202 303 366 549 606 909 1098 1647 1818 2069 2727 3294 4138 5454 6161 6207 12322 12414 18483 18621 36966 37242 55449 55863 110898 111726 126209 166347 208969 252418 332694 378627 417938 626907 757254 1135881 1253814 1880721 2271762 3407643 3761442 5642163 6815286 11284326 12747109 25494218 38241327 76482654 114723981 229447962 344171943 688343886