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3434136314343 = 371669287934033
BaseRepresentation
bin110001111110010010011…
…110011010000111100111
3110011022002212100002101120
4301332102132122013213
5422231102344024333
611145342003225023
7503052046020330
oct61762236320747
913138085302346
103434136314343
111104455470309
12475685378173
131bbab74715c7
14bc2da9bd287
155e4e2e65db3
hex31f9279a1e7

3434136314343 has 32 divisors (see below), whose sum is σ = 5238077644800. Its totient is φ = 1960449025536.

The previous prime is 3434136314339. The next prime is 3434136314419.

3434136314343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3434136314343 - 22 = 3434136314339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434136314295 and 3434136314304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434136394343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100889055 + ... + 100923087.

It is an arithmetic number, because the mean of its divisors is an integer number (163689926400).

Almost surely, 23434136314343 is an apocalyptic number.

3434136314343 is a deficient number, since it is larger than the sum of its proper divisors (1803941330457).

3434136314343 is a wasteful number, since it uses less digits than its factorization.

3434136314343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38591.

The product of its digits is 1119744, while the sum is 42.

The spelling of 3434136314343 in words is "three trillion, four hundred thirty-four billion, one hundred thirty-six million, three hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 7 21 1669 2879 5007 8637 11683 20153 34033 35049 60459 102099 238231 714693 4805051 14415153 33635357 56801077 97981007 100906071 170403231 293943021 397607539 685867049 1192822617 2057601147 163530300683 490590902049 1144712104781 3434136314343