Base | Representation |
---|---|
bin | 11111101110100011… |
… | …100100101010100100 |
3 | 10020221012012122122101 |
4 | 133232203210222210 |
5 | 1024232132324300 |
6 | 23352235341444 |
7 | 2314133230402 |
oct | 375643445244 |
9 | 106835178571 |
10 | 34067073700 |
11 | 134a1a7a770 |
12 | 6728bb1884 |
13 | 329bb6c39a |
14 | 191265c472 |
15 | d45becb6a |
hex | 7ee8e4aa4 |
34067073700 has 72 divisors (see below), whose sum is σ = 80790766560. Its totient is φ = 12365798400.
The previous prime is 34067073641. The next prime is 34067073709. The reversal of 34067073700 is 737076043.
It is a self number, because there is not a number n which added to its sum of digits gives 34067073700.
It is not an unprimeable number, because it can be changed into a prime (34067073709) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591796 + ... + 646804.
It is an arithmetic number, because the mean of its divisors is an integer number (1122093980).
Almost surely, 234067073700 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 34067073700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40395383280).
34067073700 is an abundant number, since it is smaller than the sum of its proper divisors (46723692860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34067073700 is a wasteful number, since it uses less digits than its factorization.
34067073700 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55597 (or 55590 counting only the distinct ones).
The product of its (nonzero) digits is 74088, while the sum is 37.
The spelling of 34067073700 in words is "thirty-four billion, sixty-seven million, seventy-three thousand, seven hundred".
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