Base | Representation |
---|---|
bin | 1010001101010101… |
… | …1101110000010000 |
3 | 21001222101022212221 |
4 | 2203111131300100 |
5 | 21103010004404 |
6 | 1131530230424 |
7 | 124623164014 |
oct | 24325356020 |
9 | 7058338787 |
10 | 2740313104 |
11 | 1186920881 |
12 | 645885414 |
13 | 34895c959 |
14 | 1bdd28544 |
15 | 110899954 |
hex | a355dc10 |
2740313104 has 45 divisors (see below), whose sum is σ = 5560006333. Its totient is φ = 1308281216.
The previous prime is 2740313101. The next prime is 2740313111. The reversal of 2740313104 is 4013130472.
The square root of 2740313104 is 52348.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 451647504 + 2288665600 = 21252^2 + 47840^2 .
It is a super-2 number, since 2×27403131042 = 15018631815908229632, which contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (2740313101) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4815732 + ... + 4816300.
Almost surely, 22740313104 is an apocalyptic number.
2740313104 is the 52348-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2740313104
2740313104 is an abundant number, since it is smaller than the sum of its proper divisors (2819693229).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2740313104 is an frugal number, since it uses more digits than its factorization.
2740313104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1192 (or 594 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 25.
The cubic root of 2740313104 is about 1399.3726958338.
Multiplying 2740313104 by its sum of digits (25), we get a square (68507827600 = 2617402).
Adding to 2740313104 its reverse (4013130472), we get a palindrome (6753443576).
It can be divided in two parts, 2740 and 313104, that added together give a square (315844 = 5622).
The spelling of 2740313104 in words is "two billion, seven hundred forty million, three hundred thirteen thousand, one hundred four".
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