Search a number
-
+
34005723114 = 2311246839839
BaseRepresentation
bin11111101010111001…
…100010011111101010
310020202220202201110110
4133222321202133222
51024120431114424
623342204355150
72312456606616
oct375271423752
9106686681413
1034005723114
1113470387100
126710545ab6
13328c23b76c
14190844c346
15d4062ec29
hex7eae627ea

34005723114 has 24 divisors (see below), whose sum is σ = 74756384640. Its totient is φ = 10304764360.

The previous prime is 34005723107. The next prime is 34005723211. The reversal of 34005723114 is 41132750043.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23419194 + ... + 23420645.

It is an arithmetic number, because the mean of its divisors is an integer number (3114849360).

Almost surely, 234005723114 is an apocalyptic number.

34005723114 is an abundant number, since it is smaller than the sum of its proper divisors (40750661526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34005723114 is a wasteful number, since it uses less digits than its factorization.

34005723114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46839866 (or 46839855 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 34005723114 in words is "thirty-four billion, five million, seven hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 46839839 93679678 140519517 281039034 515238229 1030476458 1545714687 3091429374 5667620519 11335241038 17002861557 34005723114