Base | Representation |
---|---|
bin | 1100110010010000… |
… | …0010101001100100 |
3 | 22212011220200001211 |
4 | 3030210002221210 |
5 | 24012043000400 |
6 | 1324315401204 |
7 | 151022343124 |
oct | 31444025144 |
9 | 8764820054 |
10 | 3432000100 |
11 | 1501302521 |
12 | 7b9453204 |
13 | 42904b2b9 |
14 | 247b3ac84 |
15 | 151478dba |
hex | cc902a64 |
3432000100 has 72 divisors (see below), whose sum is σ = 7586120360. Its totient is φ = 1347425280.
The previous prime is 3432000053. The next prime is 3432000119. The reversal of 3432000100 is 10002343.
It can be written as a sum of positive squares in 12 ways, for example, as 182088036 + 3249912064 = 13494^2 + 57008^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670674 + ... + 1672726.
Almost surely, 23432000100 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 3432000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793060180).
3432000100 is an abundant number, since it is smaller than the sum of its proper divisors (4154120260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3432000100 is a wasteful number, since it uses less digits than its factorization.
3432000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2369 (or 2362 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 3432000100 is about 58583.2749169932. The cubic root of 3432000100 is about 1508.3973610852.
Adding to 3432000100 its reverse (10002343), we get a palindrome (3442002443).
The spelling of 3432000100 in words is "three billion, four hundred thirty-two million, one hundred", and thus it is an aban number.
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