Base | Representation |
---|---|
bin | 1000010010001… |
… | …0101010101000 |
3 | 2102101020011212 |
4 | 2010202222220 |
5 | 32343320000 |
6 | 3240412252 |
7 | 601220243 |
oct | 204425250 |
9 | 72336155 |
10 | 34745000 |
11 | 18681484 |
12 | b777088 |
13 | 7276994 |
14 | 488625a |
15 | 30b4c35 |
hex | 2122aa8 |
34745000 has 40 divisors (see below), whose sum is σ = 81419250. Its totient is φ = 13896000.
The previous prime is 34744993. The next prime is 34745003. The reversal of 34745000 is 54743.
It can be written as a sum of positive squares in 5 ways, for example, as 3452164 + 31292836 = 1858^2 + 5594^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is not an unprimeable number, because it can be changed into a prime (34745003) 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, 1526 + ... + 8474.
Almost surely, 234745000 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 34745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709625).
34745000 is an abundant number, since it is smaller than the sum of its proper divisors (46674250).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34745000 is an equidigital number, since it uses as much as digits as its factorization.
34745000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6975 (or 6956 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 23.
The square root of 34745000 is about 5894.4889515547. The cubic root of 34745000 is about 326.3102920921.
Adding to 34745000 its reverse (54743), we get a palindrome (34799743).
The spelling of 34745000 in words is "thirty-four million, seven hundred forty-five thousand".
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