Base | Representation |
---|---|
bin | 1000001101110… |
… | …1111101010000 |
3 | 2101211221010110 |
4 | 2003131331100 |
5 | 32310313233 |
6 | 3230401320 |
7 | 565635606 |
oct | 203357520 |
9 | 71757113 |
10 | 34463568 |
11 | 184a9a97 |
12 | b660240 |
13 | 71a8859 |
14 | 4811876 |
15 | 305b663 |
hex | 20ddf50 |
34463568 has 160 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 9884160.
The previous prime is 34463557. The next prime is 34463581. The reversal of 34463568 is 86536443.
34463568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650230 + ... + 650282.
It is an arithmetic number, because the mean of its divisors is an integer number (642816).
Almost surely, 234463568 is an apocalyptic number.
34463568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34463568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).
34463568 is an abundant number, since it is smaller than the sum of its proper divisors (68386992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34463568 is a wasteful number, since it uses less digits than its factorization.
34463568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137 (or 131 counting only the distinct ones).
The product of its digits is 207360, while the sum is 39.
The square root of 34463568 is about 5870.5679452673. The cubic root of 34463568 is about 325.4268726075.
The spelling of 34463568 in words is "thirty-four million, four hundred sixty-three thousand, five hundred sixty-eight".
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