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34014545325 = 3352237972749
BaseRepresentation
bin11111101011011011…
…001100010110101101
310020210112100221021000
4133223123030112231
51024130210422300
623343121430513
72312624602425
oct375333142655
9106715327230
1034014545325
1113475362392
12671349b439
13329100a1c7
1419096a7485
15d412c3c00
hex7eb6cc5ad

34014545325 has 96 divisors (see below), whose sum is σ = 65308320000. Its totient is φ = 17324271360.

The previous prime is 34014545321. The next prime is 34014545363. The reversal of 34014545325 is 52354541043.

34014545325 is a `hidden beast` number, since 3 + 40 + 145 + 453 + 25 = 666.

It is not a de Polignac number, because 34014545325 - 22 = 34014545321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34014545325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014545321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12372051 + ... + 12374799.

It is an arithmetic number, because the mean of its divisors is an integer number (680295000).

Almost surely, 234014545325 is an apocalyptic number.

It is an amenable number.

34014545325 is a deficient number, since it is larger than the sum of its proper divisors (31293774675).

34014545325 is a wasteful number, since it uses less digits than its factorization.

34014545325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34014545325 in words is "thirty-four billion, fourteen million, five hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 115 135 207 225 345 575 621 675 797 1035 1725 2391 2749 3105 3985 5175 7173 8247 11955 13745 15525 18331 19925 21519 24741 35865 41235 54993 59775 63227 68725 74223 91655 107595 123705 164979 179325 189681 206175 274965 316135 371115 458275 494937 537975 569043 618525 824895 948405 1374825 1580675 1707129 1855575 2190953 2474685 2845215 4124475 4742025 6572859 8535645 10954765 12373425 14226075 19718577 32864295 42678225 50391919 54773825 59155731 98592885 151175757 164321475 251959595 295778655 453527271 492964425 755878785 1259797975 1360581813 1478893275 2267636355 3779393925 6802909065 11338181775 34014545325