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34324410105 = 3251096997841
BaseRepresentation
bin11111111101111001…
…001110111011111001
310021121010102200211100
4133331321032323321
51030244022110410
623433551122013
72323406446326
oct377571167371
9107533380740
1034324410105
1113614264387
12679b213309
13331028014b
1419388c7b4d
15d5d5d08c0
hex7fde4eef9

34324410105 has 24 divisors (see below), whose sum is σ = 60041484360. Its totient is φ = 18138401280.

The previous prime is 34324410103. The next prime is 34324410149. The reversal of 34324410105 is 50101442343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3284665344 + 31039744761 = 57312^2 + 176181^2 .

It is not a de Polignac number, because 34324410105 - 21 = 34324410103 is a prime.

It is a super-2 number, since 2×343244101052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34324410103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3494016 + ... + 3503825.

It is an arithmetic number, because the mean of its divisors is an integer number (2501728515).

Almost surely, 234324410105 is an apocalyptic number.

It is an amenable number.

34324410105 is a deficient number, since it is larger than the sum of its proper divisors (25717074255).

34324410105 is a wasteful number, since it uses less digits than its factorization.

34324410105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997961 (or 6997958 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34324410105 its reverse (50101442343), we get a palindrome (84425852448).

The spelling of 34324410105 in words is "thirty-four billion, three hundred twenty-four million, four hundred ten thousand, one hundred five".

Divisors: 1 3 5 9 15 45 109 327 545 981 1635 4905 6997841 20993523 34989205 62980569 104967615 314902845 762764669 2288294007 3813823345 6864882021 11441470035 34324410105