Base | Representation |
---|---|
bin | 1000001011011… |
… | …0000011000100 |
3 | 2101112121220002 |
4 | 2002312003010 |
5 | 32240100400 |
6 | 3223100432 |
7 | 564355202 |
oct | 202660304 |
9 | 71477802 |
10 | 34300100 |
11 | 183a819a |
12 | b5a1718 |
13 | 714c323 |
14 | 47ac072 |
15 | 3027ed5 |
hex | 20b60c4 |
34300100 has 36 divisors (see below), whose sum is σ = 75495168. Its totient is φ = 13524000.
The previous prime is 34300087. The next prime is 34300109. The reversal of 34300100 is 100343.
It is not an unprimeable number, because it can be changed into a prime (34300109) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4685 + ... + 9515.
It is an arithmetic number, because the mean of its divisors is an integer number (2097088).
Almost surely, 234300100 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 34300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37747584).
34300100 is an abundant number, since it is smaller than the sum of its proper divisors (41195068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34300100 is a wasteful number, since it uses less digits than its factorization.
34300100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4916 (or 4909 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 11.
The square root of 34300100 is about 5856.6287230795. The cubic root of 34300100 is about 324.9115341069.
Adding to 34300100 its reverse (100343), we get a palindrome (34400443).
The spelling of 34300100 in words is "thirty-four million, three hundred thousand, one hundred".
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