Base | Representation |
---|---|
bin | 1000101111000001… |
… | …0111011110000000 |
3 | 20001101222201021120 |
4 | 2023300113132000 |
5 | 14300221241224 |
6 | 1024355152240 |
7 | 112050503142 |
oct | 21360273600 |
9 | 6041881246 |
10 | 2344712064 |
11 | aa358a972 |
12 | 5552a5680 |
13 | 2b49cb6b6 |
14 | 18358ac92 |
15 | daca4779 |
hex | 8bc17780 |
2344712064 has 64 divisors (see below), whose sum is σ = 6265607040. Its totient is φ = 776869376.
The previous prime is 2344712011. The next prime is 2344712087. The reversal of 2344712064 is 4602174432.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45847 + ... + 82409.
It is an arithmetic number, because the mean of its divisors is an integer number (97900110).
Almost surely, 22344712064 is an apocalyptic number.
2344712064 is a gapful number since it is divisible by the number (24) 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 2344712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132803520).
2344712064 is an abundant number, since it is smaller than the sum of its proper divisors (3920894976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2344712064 is a wasteful number, since it uses less digits than its factorization.
2344712064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36747 (or 36735 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 33.
The square root of 2344712064 is about 48422.2269624188. The cubic root of 2344712064 is about 1328.5049369363.
Adding to 2344712064 its reverse (4602174432), we get a palindrome (6946886496).
It can be divided in two parts, 23447 and 12064, that added together give a triangular number (35511 = T266).
The spelling of 2344712064 in words is "two billion, three hundred forty-four million, seven hundred twelve thousand, sixty-four".
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