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34200244404 = 22322342299767
BaseRepresentation
bin11111110110011111…
…100101000010110100
310021021110210102111200
4133312133211002310
51030020230310104
623413353532500
72320341165234
oct376637450264
9107243712450
1034200244404
11135601678a7
126765714130
1332c0628111
141926205cc4
15d52755b39
hex7f67e50b4

34200244404 has 72 divisors (see below), whose sum is σ = 90239909760. Its totient is φ = 10900731072.

The previous prime is 34200244391. The next prime is 34200244433. The reversal of 34200244404 is 40444200243.

It is a happy number.

34200244404 is a `hidden beast` number, since 34 + 200 + 24 + 4 + 404 = 666.

It is a congruent number.

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, 3496729 + ... + 3506495.

It is an arithmetic number, because the mean of its divisors is an integer number (1253332080).

Almost surely, 234200244404 is an apocalyptic number.

It is an amenable number.

34200244404 is an abundant number, since it is smaller than the sum of its proper divisors (56039665356).

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

34200244404 is a wasteful number, since it uses less digits than its factorization.

34200244404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 34200244404 its reverse (40444200243), we get a palindrome (74644444647).

The spelling of 34200244404 in words is "thirty-four billion, two hundred million, two hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 4229 8458 9767 12687 16916 19534 25374 29301 38061 39068 50748 58602 76122 87903 97267 117204 152244 175806 194534 224641 291801 351612 389068 449282 583602 673923 875403 898564 1167204 1347846 1750806 2021769 2695692 3501612 4043538 8087076 41304643 82609286 123913929 165218572 247827858 371741787 495655716 743483574 950006789 1486967148 1900013578 2850020367 3800027156 5700040734 8550061101 11400081468 17100122202 34200244404