Base | Representation |
---|---|
bin | 1000000111010… |
… | …0101110111010 |
3 | 2101001000220120 |
4 | 2001310232322 |
5 | 32203020240 |
6 | 3213234110 |
7 | 562162215 |
oct | 201645672 |
9 | 71030816 |
10 | 34032570 |
11 | 182351a0 |
12 | b492936 |
13 | 7087620 |
14 | 473c77c |
15 | 2ec3ad0 |
hex | 2074bba |
34032570 has 64 divisors (see below), whose sum is σ = 95969664. Its totient is φ = 7614720.
The previous prime is 34032529. The next prime is 34032577. The reversal of 34032570 is 7523043.
34032570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 34032570.
It is not an unprimeable number, because it can be changed into a prime (34032577) 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 31 ways as a sum of consecutive naturals, for example, 324 + ... + 8256.
It is an arithmetic number, because the mean of its divisors is an integer number (1499526).
Almost surely, 234032570 is an apocalyptic number.
34032570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 34032570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47984832).
34032570 is an abundant number, since it is smaller than the sum of its proper divisors (61937094).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34032570 is a wasteful number, since it uses less digits than its factorization.
34032570 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7967.
The product of its (nonzero) digits is 2520, while the sum is 24.
The square root of 34032570 is about 5833.7440807769. The cubic root of 34032570 is about 324.0645923652.
The spelling of 34032570 in words is "thirty-four million, thirty-two thousand, five hundred seventy".
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