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34012340349 = 3134523192817
BaseRepresentation
bin11111101011010010…
…110010000001111101
310020210101012220121020
4133223102302001331
51024124124342344
623343002254353
72312600060061
oct375322620175
9106711186536
1034012340349
1113474096799
1267127b73b9
1332907176a0
141909291aa1
15d40eda719
hex7eb4b207d

34012340349 has 16 divisors (see below), whose sum is σ = 48849283392. Its totient is φ = 20925934848.

The previous prime is 34012340293. The next prime is 34012340353. The reversal of 34012340349 is 94304321043.

It is not a de Polignac number, because 34012340349 - 220 = 34011291773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012340359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79989 + ... + 272805.

It is an arithmetic number, because the mean of its divisors is an integer number (3053080212).

Almost surely, 234012340349 is an apocalyptic number.

34012340349 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34012340349 is a deficient number, since it is larger than the sum of its proper divisors (14836943043).

34012340349 is a wasteful number, since it uses less digits than its factorization.

34012340349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197356.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 34012340349 in words is "thirty-four billion, twelve million, three hundred forty thousand, three hundred forty-nine".

Divisors: 1 3 13 39 4523 13569 58799 176397 192817 578451 2506621 7519863 872111291 2616333873 11337446783 34012340349