Base | Representation |
---|---|
bin | 11111111000010101… |
… | …101011001000000000 |
3 | 10021100122001020202120 |
4 | 133320111223020000 |
5 | 1030101141433204 |
6 | 23420421244240 |
7 | 2321165263425 |
oct | 377025531000 |
9 | 107318036676 |
10 | 34231202304 |
11 | 13576691a42 |
12 | 6773b63680 |
13 | 32c6b770c0 |
14 | 192a383d4c |
15 | d5531d6d9 |
hex | 7f856b200 |
34231202304 has 160 divisors (see below), whose sum is σ = 98868088704. Its totient is φ = 10462003200.
The previous prime is 34231202303. The next prime is 34231202407. The reversal of 34231202304 is 40320213243.
It is a super-3 number, since 3×342312023043 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (34231202303) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3009492 + ... + 3020844.
Almost surely, 234231202304 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 34231202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49434044352).
34231202304 is an abundant number, since it is smaller than the sum of its proper divisors (64636886400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34231202304 is a wasteful number, since it uses less digits than its factorization.
34231202304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11538 (or 11522 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
Adding to 34231202304 its reverse (40320213243), we get a palindrome (74551415547).
The spelling of 34231202304 in words is "thirty-four billion, two hundred thirty-one million, two hundred two thousand, three hundred four".
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