Base | Representation |
---|---|
bin | 1000010011100… |
… | …0000000000000 |
3 | 2102112200001022 |
4 | 2010320000000 |
5 | 32404114014 |
6 | 3242325012 |
7 | 602033066 |
oct | 204700000 |
9 | 72480038 |
10 | 34832384 |
11 | 187310a4 |
12 | b7b9768 |
13 | 72a76a2 |
14 | 48aa036 |
15 | 30d0a8e |
hex | 2138000 |
34832384 has 32 divisors (see below), whose sum is σ = 69729240. Its totient is φ = 17399808.
The previous prime is 34832381. The next prime is 34832389. The reversal of 34832384 is 48323843.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34832381) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32237 + ... + 33299.
Almost surely, 234832384 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 34832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34864620).
34832384 is an abundant number, since it is smaller than the sum of its proper divisors (34896856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34832384 is an frugal number, since it uses more digits than its factorization.
34832384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1093 (or 1065 counting only the distinct ones).
The product of its digits is 55296, while the sum is 35.
The square root of 34832384 is about 5901.8966443000. The cubic root of 34832384 is about 326.5836208908.
The spelling of 34832384 in words is "thirty-four million, eight hundred thirty-two thousand, three hundred eighty-four".
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