Base | Representation |
---|---|
bin | 1000001111011… |
… | …1011110000000 |
3 | 2102001020110200 |
4 | 2003313132000 |
5 | 32322134224 |
6 | 3232525200 |
7 | 566552346 |
oct | 203673600 |
9 | 72036420 |
10 | 34568064 |
11 | 18570553 |
12 | b6b0800 |
13 | 721429b |
14 | 483b996 |
15 | 307c5c9 |
hex | 20f7780 |
34568064 has 96 divisors (see below), whose sum is σ = 102287640. Its totient is φ = 11197440.
The previous prime is 34568063. The next prime is 34568111. The reversal of 34568064 is 46086543.
34568064 is a `hidden beast` number, since 34 + 568 + 0 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34568063) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42219 + ... + 43029.
Almost surely, 234568064 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 34568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51143820).
34568064 is an abundant number, since it is smaller than the sum of its proper divisors (67719576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34568064 is a wasteful number, since it uses less digits than its factorization.
34568064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 868 (or 853 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 34568064 is about 5879.4611998039. The cubic root of 34568064 is about 325.7554465856.
It can be divided in two parts, 345680 and 64, that added together give a square (345744 = 5882).
The spelling of 34568064 in words is "thirty-four million, five hundred sixty-eight thousand, sixty-four".
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