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34812666 = 2387379
BaseRepresentation
bin1000010011001…
…1001011111010
32102111200000000
42010303023322
532403001131
63242053430
7601621440
oct204631372
972450000
1034812666
11187182a9
12b7aa276
13729b715
1448a2b90
1530c9ce6
hex21332fa

34812666 has 72 divisors (see below), whose sum is σ = 89749920. Its totient is φ = 9920232.

The previous prime is 34812647. The next prime is 34812677. The reversal of 34812666 is 66621843.

34812666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34812666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91665 + ... + 92043.

Almost surely, 234812666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34812666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44874960).

34812666 is an abundant number, since it is smaller than the sum of its proper divisors (54937254).

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

34812666 is an frugal number, since it uses more digits than its factorization.

34812666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34812666 is about 5900.2259278777. The cubic root of 34812666 is about 326.5219848442.

The spelling of 34812666 in words is "thirty-four million, eight hundred twelve thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 379 486 567 729 758 1134 1137 1458 1701 2187 2274 2653 3402 3411 4374 5103 5306 6561 6822 7959 10206 10233 13122 15309 15918 20466 23877 30618 30699 45927 47754 61398 71631 91854 92097 143262 184194 214893 276291 429786 552582 644679 828873 1289358 1657746 1934037 2486619 3868074 4973238 5802111 11604222 17406333 34812666