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34694118228 = 223711172173751
BaseRepresentation
bin100000010011111011…
…100011101101010100
310022112220002211000210
4200103323203231110
51032023143240403
623534355205420
72335516065510
oct402373435524
9108486084023
1034694118228
1113793a1a590
126882ba6870
13336ba46953
141971a45140
15d80cadb03
hex813ee3b54

34694118228 has 288 divisors, whose sum is σ = 107977863168. Its totient is φ = 8421120000.

The previous prime is 34694118223. The next prime is 34694118259. The reversal of 34694118228 is 82281149643.

34694118228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34694118223) 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, 46196853 + ... + 46197603.

It is an arithmetic number, because the mean of its divisors is an integer number (374923136).

Almost surely, 234694118228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34694118228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53988931584).

34694118228 is an abundant number, since it is smaller than the sum of its proper divisors (73283744940).

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

34694118228 is a wasteful number, since it uses less digits than its factorization.

34694118228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 34694118228 in words is "thirty-four billion, six hundred ninety-four million, one hundred eighteen thousand, two hundred twenty-eight".