Base | Representation |
---|---|
bin | 1000001101001… |
… | …1111010000000 |
3 | 2101202211122201 |
4 | 2003103322000 |
5 | 32303004100 |
6 | 3225442544 |
7 | 565404565 |
oct | 203237200 |
9 | 71684581 |
10 | 34422400 |
11 | 18481071 |
12 | b640454 |
13 | 7192bac |
14 | 480086c |
15 | 304e36a |
hex | 20d3e80 |
34422400 has 96 divisors (see below), whose sum is σ = 88030080. Its totient is φ = 13286400.
The previous prime is 34422397. The next prime is 34422419. The reversal of 34422400 is 422443.
34422400 is nontrivially palindromic in base 7.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99027 + ... + 99373.
It is an arithmetic number, because the mean of its divisors is an integer number (916980).
Almost surely, 234422400 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 34422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44015040).
34422400 is an abundant number, since it is smaller than the sum of its proper divisors (53607680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34422400 is a wasteful number, since it uses less digits than its factorization.
34422400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402 (or 385 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 19.
The square root of 34422400 is about 5867.0605928352. The cubic root of 34422400 is about 325.2972428537.
Adding to 34422400 its reverse (422443), we get a palindrome (34844843).
The spelling of 34422400 in words is "thirty-four million, four hundred twenty-two thousand, four hundred".
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