Base | Representation |
---|---|
bin | 1000001001111… |
… | …1011011011000 |
3 | 2101100220210112 |
4 | 2002133123120 |
5 | 32224114243 |
6 | 3221103452 |
7 | 563521112 |
oct | 202373330 |
9 | 71326715 |
10 | 34207448 |
11 | 18344620 |
12 | b557b88 |
13 | 71190c2 |
14 | 47863b2 |
15 | 300a818 |
hex | 209f6d8 |
34207448 has 64 divisors (see below), whose sum is σ = 75600000. Its totient is φ = 14342400.
The previous prime is 34207447. The next prime is 34207487. The reversal of 34207448 is 84470243.
34207448 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 (34207447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68303 + ... + 68801.
It is an arithmetic number, because the mean of its divisors is an integer number (1181250).
Almost surely, 234207448 is an apocalyptic number.
34207448 is a gapful number since it is divisible by the number (38) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34207448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800000).
34207448 is an abundant number, since it is smaller than the sum of its proper divisors (41392552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34207448 is a wasteful number, since it uses less digits than its factorization.
34207448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 576 (or 572 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 32.
The square root of 34207448 is about 5848.7133627833. The cubic root of 34207448 is about 324.6187181506.
The spelling of 34207448 in words is "thirty-four million, two hundred seven thousand, four hundred forty-eight".
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