Base | Representation |
---|---|
bin | 1000010011010… |
… | …1011110010000 |
3 | 2102112010211220 |
4 | 2010311132100 |
5 | 32403301112 |
6 | 3242205040 |
7 | 601660650 |
oct | 204653620 |
9 | 72463756 |
10 | 34822032 |
11 | 18724343 |
12 | b7b3780 |
13 | 72a2a6b |
14 | 48a6360 |
15 | 30cc98c |
hex | 2135790 |
34822032 has 80 divisors (see below), whose sum is σ = 105624192. Its totient is φ = 9676800.
The previous prime is 34822031. The next prime is 34822049. The reversal of 34822032 is 23022843.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 34821993 and 34822011.
It is not an unprimeable number, because it can be changed into a prime (34822031) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11032 + ... + 13832.
Almost surely, 234822032 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 34822032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52812096).
34822032 is an abundant number, since it is smaller than the sum of its proper divisors (70802160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34822032 is a wasteful number, since it uses less digits than its factorization.
34822032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2856 (or 2850 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 34822032 is about 5901.0195729213. The cubic root of 34822032 is about 326.5512647112.
Adding to 34822032 its reverse (23022843), we get a palindrome (57844875).
The spelling of 34822032 in words is "thirty-four million, eight hundred twenty-two thousand, thirty-two".
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