Base | Representation |
---|---|
bin | 11111111000100001… |
… | …111101010001000000 |
3 | 10021100212002211211000 |
4 | 133320201331101000 |
5 | 1030103003003321 |
6 | 23421014252000 |
7 | 2321234534322 |
oct | 377041752100 |
9 | 107325084730 |
10 | 34234422336 |
11 | 13578491224 |
12 | 6775057000 |
13 | 32c773394a |
14 | 192a981612 |
15 | d55757826 |
hex | 7f887d440 |
34234422336 has 112 divisors (see below), whose sum is σ = 100788419200. Its totient is φ = 11394971136.
The previous prime is 34234422329. The next prime is 34234422403. The reversal of 34234422336 is 63322443243.
34234422336 is a `hidden beast` number, since 3 + 423 + 4 + 4 + 223 + 3 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 34234422336.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211181 + ... + 1239123.
It is an arithmetic number, because the mean of its divisors is an integer number (899896600).
Almost surely, 234234422336 is an apocalyptic number.
34234422336 is a gapful number since it is divisible by the number (36) 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 34234422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50394209600).
34234422336 is an abundant number, since it is smaller than the sum of its proper divisors (66553996864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34234422336 is a wasteful number, since it uses less digits than its factorization.
34234422336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28673 (or 28657 counting only the distinct ones).
The product of its digits is 248832, while the sum is 36.
Adding to 34234422336 its reverse (63322443243), we get a palindrome (97556865579).
The spelling of 34234422336 in words is "thirty-four billion, two hundred thirty-four million, four hundred twenty-two thousand, three hundred thirty-six".
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