Base | Representation |
---|---|
bin | 1111000001110011… |
… | …1101000111110000 |
3 | 101102010220122100020 |
4 | 3300130331013300 |
5 | 31230213402344 |
6 | 1504145123440 |
7 | 201653321166 |
oct | 36034750760 |
9 | 11363818306 |
10 | 4034122224 |
11 | 179017a810 |
12 | 947029580 |
13 | 4c3a0aa92 |
14 | 2a3ab7236 |
15 | 189265719 |
hex | f073d1f0 |
4034122224 has 80 divisors (see below), whose sum is σ = 11496764160. Its totient is φ = 1208711680.
The previous prime is 4034122223. The next prime is 4034122243. The reversal of 4034122224 is 4222214304.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 4034122194 and 4034122203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4034122223) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4069 + ... + 89915.
It is an arithmetic number, because the mean of its divisors is an integer number (143709552).
Almost surely, 24034122224 is an apocalyptic number.
4034122224 is a gapful number since it is divisible by the number (44) 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 4034122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748382080).
4034122224 is an abundant number, since it is smaller than the sum of its proper divisors (7462641936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4034122224 is a wasteful number, since it uses less digits than its factorization.
4034122224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85958 (or 85952 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 4034122224 is about 63514.7402104425. The cubic root of 4034122224 is about 1591.9020818878.
Adding to 4034122224 its reverse (4222214304), we get a palindrome (8256336528).
The spelling of 4034122224 in words is "four billion, thirty-four million, one hundred twenty-two thousand, two hundred twenty-four".
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