Base | Representation |
---|---|
bin | 1000101110110110… |
… | …1101000101000000 |
3 | 20001100200020220200 |
4 | 2023231231011000 |
5 | 14300031423034 |
6 | 1024332205200 |
7 | 112041535323 |
oct | 21355550500 |
9 | 6040606820 |
10 | 2344014144 |
11 | aa315357a |
12 | 555009800 |
13 | 2b4815b24 |
14 | 1834487ba |
15 | dabb7a99 |
hex | 8bb6d140 |
2344014144 has 84 divisors (see below), whose sum is σ = 6778338996. Its totient is φ = 774402048.
The previous prime is 2344014137. The next prime is 2344014163. The reversal of 2344014144 is 4414104432.
It can be written as a sum of positive squares in 2 ways, for example, as 404492544 + 1939521600 = 20112^2 + 44040^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47082 + ... + 83094.
Almost surely, 22344014144 is an apocalyptic number.
2344014144 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 2344014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389169498).
2344014144 is an abundant number, since it is smaller than the sum of its proper divisors (4434324852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2344014144 is a wasteful number, since it uses less digits than its factorization.
2344014144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36144 (or 36131 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 2344014144 is about 48415.0198182341. The cubic root of 2344014144 is about 1328.3731109166.
Adding to 2344014144 its reverse (4414104432), we get a palindrome (6758118576).
The spelling of 2344014144 in words is "two billion, three hundred forty-four million, fourteen thousand, one hundred forty-four".
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