Base | Representation |
---|---|
bin | 1000010100101101… |
… | …0101111010000000 |
3 | 12202201022101102221 |
4 | 2011023111322000 |
5 | 14033442434130 |
6 | 1005413420424 |
7 | 106240413436 |
oct | 20513257200 |
9 | 5681271387 |
10 | 2234343040 |
11 | a47256aa6 |
12 | 52433a714 |
13 | 297b97397 |
14 | 172a5ad56 |
15 | d125287a |
hex | 852d5e80 |
2234343040 has 64 divisors (see below), whose sum is σ = 5390649000. Its totient is φ = 885510144.
The previous prime is 2234343029. The next prime is 2234343049. The reversal of 2234343040 is 403434322.
It can be written as a sum of positive squares in 4 ways, for example, as 1246372416 + 987970624 = 35304^2 + 31432^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 2234342996 and 2234343014.
It is not an unprimeable number, because it can be changed into a prime (2234343049) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53746 + ... + 85774.
Almost surely, 22234343040 is an apocalyptic number.
2234343040 is a gapful number since it is divisible by the number (20) 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 2234343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695324500).
2234343040 is an abundant number, since it is smaller than the sum of its proper divisors (3156305960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2234343040 is a wasteful number, since it uses less digits than its factorization.
2234343040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32157 (or 32145 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 25.
The square root of 2234343040 is about 47268.8379379058. The cubic root of 2234343040 is about 1307.3241496555.
Adding to 2234343040 its reverse (403434322), we get a palindrome (2637777362).
The spelling of 2234343040 in words is "two billion, two hundred thirty-four million, three hundred forty-three thousand, forty".
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