Base | Representation |
---|---|
bin | 1000001110010… |
… | …0011010010000 |
3 | 2101220021101102 |
4 | 2003210122100 |
5 | 32312140000 |
6 | 3231123532 |
7 | 566105636 |
oct | 203443220 |
9 | 71807342 |
10 | 34490000 |
11 | 18517936 |
12 | b6735a8 |
13 | 71b78ac |
14 | 481b356 |
15 | 30643d5 |
hex | 20e4690 |
34490000 has 50 divisors (see below), whose sum is σ = 83527950. Its totient is φ = 13792000.
The previous prime is 34489969. The next prime is 34490021. The reversal of 34490000 is 9443.
It can be written as a sum of positive squares in 5 ways, for example, as 25441936 + 9048064 = 5044^2 + 3008^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8276 + ... + 11724.
It is an arithmetic number, because the mean of its divisors is an integer number (1670559).
Almost surely, 234490000 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 34490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41763975).
34490000 is an abundant number, since it is smaller than the sum of its proper divisors (49037950).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34490000 is an equidigital number, since it uses as much as digits as its factorization.
34490000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3477 (or 3456 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
The square root of 34490000 is about 5872.8187440104. The cubic root of 34490000 is about 325.5100472515.
Adding to 34490000 its reverse (9443), we get a palindrome (34499443).
The spelling of 34490000 in words is "thirty-four million, four hundred ninety thousand".
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