Base | Representation |
---|---|
bin | 1000101101111110… |
… | …0101011111010000 |
3 | 20001002201012221202 |
4 | 2023133211133100 |
5 | 14243110004130 |
6 | 1024121010332 |
7 | 111665222042 |
oct | 21337453720 |
9 | 6032635852 |
10 | 2340313040 |
11 | aa105590a |
12 | 5539239a8 |
13 | 2b3b1b320 |
14 | 182b63a92 |
15 | da6d6145 |
hex | 8b7e57d0 |
2340313040 has 80 divisors (see below), whose sum is σ = 5874446928. Its totient is φ = 861954048.
The previous prime is 2340313009. The next prime is 2340313067. The reversal of 2340313040 is 403130432.
It can be written as a sum of positive squares in 8 ways, for example, as 556771216 + 1783541824 = 23596^2 + 42232^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447722 + ... + 452918.
Almost surely, 22340313040 is an apocalyptic number.
2340313040 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 2340313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937223464).
2340313040 is an abundant number, since it is smaller than the sum of its proper divisors (3534133888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2340313040 is a wasteful number, since it uses less digits than its factorization.
2340313040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5656 (or 5650 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 2340313040 is about 48376.7820343602. The cubic root of 2340313040 is about 1327.6735933898.
Adding to 2340313040 its reverse (403130432), we get a palindrome (2743443472).
The spelling of 2340313040 in words is "two billion, three hundred forty million, three hundred thirteen thousand, forty".
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