Base | Representation |
---|---|
bin | 100000101100010111… |
… | …111110010010100000 |
3 | 10100121110210011100011 |
4 | 200230113332102200 |
5 | 1033343140022240 |
6 | 24043205134304 |
7 | 2351625643441 |
oct | 405427762240 |
9 | 110543704304 |
10 | 35104220320 |
11 | 13984465334 |
12 | 69783ba394 |
13 | 34059b4400 |
14 | 19b02b92c8 |
15 | da6cba6ea |
hex | 82c5fe4a0 |
35104220320 has 144 divisors (see below), whose sum is σ = 90386898840. Its totient is φ = 12877443072.
The previous prime is 35104220299. The next prime is 35104220323. The reversal of 35104220320 is 2302240153.
It can be written as a sum of positive squares in 12 ways, for example, as 190550416 + 34913669904 = 13804^2 + 186852^2 .
It is a junction number, because it is equal to n+sod(n) for n = 35104220291 and 35104220300.
It is not an unprimeable number, because it can be changed into a prime (35104220323) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4241146 + ... + 4249414.
Almost surely, 235104220320 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 35104220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45193449420).
35104220320 is an abundant number, since it is smaller than the sum of its proper divisors (55282678520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35104220320 is a wasteful number, since it uses less digits than its factorization.
35104220320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8467 (or 8446 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 22.
Adding to 35104220320 its reverse (2302240153), we get a palindrome (37406460473).
The spelling of 35104220320 in words is "thirty-five billion, one hundred four million, two hundred twenty thousand, three hundred twenty".
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