Base | Representation |
---|---|
bin | 1000001010011… |
… | …1111010100000 |
3 | 2101102200110221 |
4 | 2002213322200 |
5 | 32231222313 |
6 | 3221532424 |
7 | 564024340 |
oct | 202477240 |
9 | 71380427 |
10 | 34242208 |
11 | 18368750 |
12 | b574114 |
13 | 712bb80 |
14 | 4794d20 |
15 | 3015c8d |
hex | 20a7ea0 |
34242208 has 96 divisors (see below), whose sum is σ = 90599040. Its totient is φ = 12303360.
The previous prime is 34242203. The next prime is 34242217. The reversal of 34242208 is 80224243.
It is not an unprimeable number, because it can be changed into a prime (34242203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31498 + ... + 32566.
It is an arithmetic number, because the mean of its divisors is an integer number (943740).
Almost surely, 234242208 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 34242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45299520).
34242208 is an abundant number, since it is smaller than the sum of its proper divisors (56356832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34242208 is a wasteful number, since it uses less digits than its factorization.
34242208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 25.
The square root of 34242208 is about 5851.6842020054. The cubic root of 34242208 is about 324.7286350201.
It can be divided in two parts, 34 and 242208, that added together give a palindrome (242242).
The spelling of 34242208 in words is "thirty-four million, two hundred forty-two thousand, two hundred eight".
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