Base | Representation |
---|---|
bin | 1100101011101000… |
… | …0010100000000000 |
3 | 22210020121220021020 |
4 | 3022322002200000 |
5 | 23432434242344 |
6 | 1321444025440 |
7 | 150234216660 |
oct | 31272024000 |
9 | 8706556236 |
10 | 3404212224 |
11 | 1497653036 |
12 | 7b0092280 |
13 | 42336c17a |
14 | 2441861a0 |
15 | 14dcda719 |
hex | cae82800 |
3404212224 has 96 divisors (see below), whose sum is σ = 10372340160. Its totient is φ = 972619776.
The previous prime is 3404212223. The next prime is 3404212237. The reversal of 3404212224 is 4222124043.
It is a tau number, because it is divible by the number of its divisors (96).
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 = 3404212194 and 3404212203.
It is not an unprimeable number, because it can be changed into a prime (3404212223) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3432 + ... + 82584.
It is an arithmetic number, because the mean of its divisors is an integer number (108045210).
Almost surely, 23404212224 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 3404212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186170080).
3404212224 is an abundant number, since it is smaller than the sum of its proper divisors (6968127936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3404212224 is an equidigital number, since it uses as much as digits as its factorization.
3404212224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79185 (or 79165 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 24.
The square root of 3404212224 is about 58345.6272911690. The cubic root of 3404212224 is about 1504.3153103813.
Adding to 3404212224 its reverse (4222124043), we get a palindrome (7626336267).
The spelling of 3404212224 in words is "three billion, four hundred four million, two hundred twelve thousand, two hundred twenty-four".
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