Base | Representation |
---|---|
bin | 1000010110000011… |
… | …1101100001000000 |
3 | 12210002222022110121 |
4 | 2011200331201000 |
5 | 14041420312204 |
6 | 1010135110024 |
7 | 106336526200 |
oct | 20540754100 |
9 | 5702868417 |
10 | 2240010304 |
11 | a4a477994 |
12 | 526212314 |
13 | 2990ccaac |
14 | 1736d4400 |
15 | d19c1b54 |
hex | 8583d840 |
2240010304 has 84 divisors (see below), whose sum is σ = 5475029436. Its totient is φ = 903512064.
The previous prime is 2240010281. The next prime is 2240010347. The reversal of 2240010304 is 4030100422.
It can be written as a sum of positive squares in 2 ways, for example, as 983449600 + 1256560704 = 31360^2 + 35448^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32304 + ... + 74320.
Almost surely, 22240010304 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2240010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737514718).
2240010304 is an abundant number, since it is smaller than the sum of its proper divisors (3235019132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2240010304 is a wasteful number, since it uses less digits than its factorization.
2240010304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42060 (or 42043 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 2240010304 is about 47328.7471205398. The cubic root of 2240010304 is about 1308.4285303264.
Adding to 2240010304 its reverse (4030100422), we get a palindrome (6270110726).
The spelling of 2240010304 in words is "two billion, two hundred forty million, ten thousand, three hundred four".
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