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34000520523 = 31723103347811
BaseRepresentation
bin11111101010100101…
…101100010101001011
310020202112222101211220
4133222211230111023
51024113113124043
623341501053123
72312364440664
oct375245542513
9106675871756
1034000520523
1113468453342
12670a8571a3
13328b1396c8
14190789636b
15d3ee53483
hex7ea96c54b

34000520523 has 64 divisors (see below), whose sum is σ = 50782298112. Its totient is φ = 20124910080.

The previous prime is 34000520509. The next prime is 34000520551. The reversal of 34000520523 is 32502500043.

It is not a de Polignac number, because 34000520523 - 24 = 34000520507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34000520493 and 34000520502.

It is not an unprimeable number, because it can be changed into a prime (34000520423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41923788 + ... + 41924598.

It is an arithmetic number, because the mean of its divisors is an integer number (793473408).

Almost surely, 234000520523 is an apocalyptic number.

34000520523 is a deficient number, since it is larger than the sum of its proper divisors (16781777589).

34000520523 is a wasteful number, since it uses less digits than its factorization.

34000520523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304.

The product of its (nonzero) digits is 3600, while the sum is 24.

The spelling of 34000520523 in words is "thirty-four billion, five hundred twenty thousand, five hundred twenty-three".

Divisors: 1 3 17 23 51 69 103 309 347 391 811 1041 1173 1751 2369 2433 5253 5899 7107 7981 13787 17697 18653 23943 35741 40273 41361 55959 83533 107223 120819 135677 250599 281417 317101 407031 607597 822043 844251 951303 1420061 1822791 1921259 2466129 4260183 4784089 5763777 6472591 13974731 14352267 19417773 28985951 32661403 41924193 86957853 97984209 110034047 330102141 492761167 666676873 1478283501 2000030619 11333506841 34000520523