Base | Representation |
---|---|
bin | 1000000111110… |
… | …0111101000000 |
3 | 2101002202002121 |
4 | 2001330331000 |
5 | 32210104430 |
6 | 3214054024 |
7 | 562362325 |
oct | 201747500 |
9 | 71082077 |
10 | 34066240 |
11 | 1825851a |
12 | b4aa314 |
13 | 7099a50 |
14 | 474ab4c |
15 | 2ecda7a |
hex | 207cf40 |
34066240 has 112 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 11888640.
The previous prime is 34066199. The next prime is 34066247. The reversal of 34066240 is 4266043.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34066247) 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, 78825 + ... + 79255.
It is an arithmetic number, because the mean of its divisors is an integer number (822960).
Almost surely, 234066240 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 34066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).
34066240 is an abundant number, since it is smaller than the sum of its proper divisors (58105280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34066240 is a wasteful number, since it uses less digits than its factorization.
34066240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 480 (or 470 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 25.
The square root of 34066240 is about 5836.6291641666. The cubic root of 34066240 is about 324.1714278511.
The spelling of 34066240 in words is "thirty-four million, sixty-six thousand, two hundred forty".
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