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34346556516 = 223311011795107
BaseRepresentation
bin11111111111001101…
…101101110001100100
310021122200002211222210
4133333031231301210
51030320204302031
623440101523420
72324065625166
oct377715556144
9107580084883
1034346556516
11136258102a8
1267a6713570
133314a3552c
14193b810936
15d60507746
hex7ff36dc64

34346556516 has 96 divisors (see below), whose sum is σ = 84029460480. Its totient is φ = 10906416000.

The previous prime is 34346556511. The next prime is 34346556583. The reversal of 34346556516 is 61565564343.

It is not an unprimeable number, because it can be changed into a prime (34346556511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6722835 + ... + 6727941.

It is an arithmetic number, because the mean of its divisors is an integer number (875306880).

Almost surely, 234346556516 is an apocalyptic number.

It is an amenable number.

34346556516 is an abundant number, since it is smaller than the sum of its proper divisors (49682903964).

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

34346556516 is a wasteful number, since it uses less digits than its factorization.

34346556516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5423 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 34346556516 in words is "thirty-four billion, three hundred forty-six million, five hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 31 62 93 101 124 179 186 202 303 358 372 404 537 606 716 1074 1212 2148 3131 5107 5549 6262 9393 10214 11098 12524 15321 16647 18079 18786 20428 22196 30642 33294 36158 37572 54237 61284 66588 72316 108474 158317 216948 316634 474951 515807 560449 633268 914153 949902 1031614 1120898 1547421 1681347 1828306 1899804 2063228 2241796 2742459 3094842 3362694 3656612 5484918 6189684 6725388 10969836 15990017 28338743 31980034 47970051 56677486 63960068 85016229 92329453 95940102 113354972 170032458 184658906 191880204 276988359 340064916 369317812 553976718 1107953436 2862213043 5724426086 8586639129 11448852172 17173278258 34346556516