Base | Representation |
---|---|
bin | 1000000111001… |
… | …0110011111100 |
3 | 2101000122010002 |
4 | 2001302303330 |
5 | 32202242300 |
6 | 3213133432 |
7 | 562130243 |
oct | 201626374 |
9 | 71018102 |
10 | 34024700 |
11 | 1822a296 |
12 | b48a278 |
13 | 7083b78 |
14 | 473995a |
15 | 2ec15d5 |
hex | 2072cfc |
34024700 has 36 divisors (see below), whose sum is σ = 74682720. Its totient is φ = 13453440.
The previous prime is 34024699. The next prime is 34024709. The reversal of 34024700 is 742043.
It is a happy number.
34024700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34024709) 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 11 ways as a sum of consecutive naturals, for example, 6989 + ... + 10811.
It is an arithmetic number, because the mean of its divisors is an integer number (2074520).
Almost surely, 234024700 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 34024700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37341360).
34024700 is an abundant number, since it is smaller than the sum of its proper divisors (40658020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34024700 is a wasteful number, since it uses less digits than its factorization.
34024700 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3926 (or 3919 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 20.
The square root of 34024700 is about 5833.0695178439. The cubic root of 34024700 is about 324.0396105614.
Adding to 34024700 its reverse (742043), we get a palindrome (34766743).
The spelling of 34024700 in words is "thirty-four million, twenty-four thousand, seven hundred".
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