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34688682 = 2337163563
BaseRepresentation
bin1000010001010…
…0111010101010
32102021100221000
42010110322222
532340014212
63235255430
7600564120
oct204247252
972240830
1034688682
1118643136
12b74a576
137257162
14486d910
1530a31dc
hex2114eaa

34688682 has 64 divisors (see below), whose sum is σ = 88796160. Its totient is φ = 9832752.

The previous prime is 34688681. The next prime is 34688707. The reversal of 34688682 is 28688643.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34688681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61333 + ... + 61895.

It is an arithmetic number, because the mean of its divisors is an integer number (1387440).

Almost surely, 234688682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34688682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44398080).

34688682 is an abundant number, since it is smaller than the sum of its proper divisors (54107478).

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

34688682 is a wasteful number, since it uses less digits than its factorization.

34688682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 34688682 is about 5889.7098400515. The cubic root of 34688682 is about 326.1338918319.

The spelling of 34688682 in words is "thirty-four million, six hundred eighty-eight thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 163 189 326 378 489 563 978 1126 1141 1467 1689 2282 2934 3378 3423 3941 4401 5067 6846 7882 8802 10134 10269 11823 15201 20538 23646 30402 30807 35469 61614 70938 91769 106407 183538 212814 275307 550614 642383 825921 1284766 1651842 1927149 2477763 3854298 4955526 5781447 11562894 17344341 34688682