Base | Representation |
---|---|
bin | 1000001101110… |
… | …0111100010000 |
3 | 2101211201102101 |
4 | 2003130330100 |
5 | 32310200113 |
6 | 3230330144 |
7 | 565620514 |
oct | 203347420 |
9 | 71751371 |
10 | 34459408 |
11 | 184a6955 |
12 | b659954 |
13 | 71a69a9 |
14 | 4810144 |
15 | 305a2dd |
hex | 20dcf10 |
34459408 has 40 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 16089600.
The previous prime is 34459387. The next prime is 34459409. The reversal of 34459408 is 80495443.
It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (34459409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40653 + ... + 41491.
It is an arithmetic number, because the mean of its divisors is an integer number (1781136).
Almost surely, 234459408 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 34459408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).
34459408 is an abundant number, since it is smaller than the sum of its proper divisors (36786032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34459408 is a wasteful number, since it uses less digits than its factorization.
34459408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 37.
The square root of 34459408 is about 5870.2136247329. The cubic root of 34459408 is about 325.4137782943.
The spelling of 34459408 in words is "thirty-four million, four hundred fifty-nine thousand, four hundred eight".
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