Base | Representation |
---|---|
bin | 1000010000110… |
… | …1111010100000 |
3 | 2102012220120201 |
4 | 2010031322200 |
5 | 32333110000 |
6 | 3234514544 |
7 | 600414364 |
oct | 204157240 |
9 | 72186521 |
10 | 34660000 |
11 | 18623631 |
12 | b735a54 |
13 | 724709b |
14 | 48632a4 |
15 | 309996a |
hex | 210dea0 |
34660000 has 60 divisors (see below), whose sum is σ = 85318002. Its totient is φ = 13856000.
The previous prime is 34659997. The next prime is 34660007. The reversal of 34660000 is 6643.
It is a happy number.
It can be written as a sum of positive squares in 5 ways, for example, as 226576 + 34433424 = 476^2 + 5868^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 34660000.
It is not an unprimeable number, because it can be changed into a prime (34660007) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19134 + ... + 20866.
Almost surely, 234660000 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 34660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42659001).
34660000 is an abundant number, since it is smaller than the sum of its proper divisors (50658002).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34660000 is an equidigital number, since it uses as much as digits as its factorization.
34660000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1763 (or 1740 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
The square root of 34660000 is about 5887.2744118140. The cubic root of 34660000 is about 326.0439801655.
Adding to 34660000 its reverse (6643), we get a palindrome (34666643).
The spelling of 34660000 in words is "thirty-four million, six hundred sixty thousand".
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