Base | Representation |
---|---|
bin | 1000001010001… |
… | …0010000000000 |
3 | 2101101111122200 |
4 | 2002202100000 |
5 | 32230002013 |
6 | 3221233200 |
7 | 563566605 |
oct | 202422000 |
9 | 71344580 |
10 | 34219008 |
11 | 1835227a |
12 | b562800 |
13 | 7121445 |
14 | 478a6ac |
15 | 300de73 |
hex | 20a2400 |
34219008 has 132 divisors (see below), whose sum is σ = 102186240. Its totient is φ = 11022336.
The previous prime is 34219001. The next prime is 34219027. The reversal of 34219008 is 80091243.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34219001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433113 + ... + 433191.
Almost surely, 234219008 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 34219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093120).
34219008 is an abundant number, since it is smaller than the sum of its proper divisors (67967232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34219008 is a wasteful number, since it uses less digits than its factorization.
34219008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 34219008 is about 5849.7015308475. The cubic root of 34219008 is about 324.6552810433.
The spelling of 34219008 in words is "thirty-four million, two hundred nineteen thousand, eight".
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