Base | Representation |
---|---|
bin | 1100101101011111… |
… | …0100111110000000 |
3 | 22210210022122001121 |
4 | 3023113310332000 |
5 | 23441434133440 |
6 | 1322323242024 |
7 | 150360462304 |
oct | 31327647600 |
9 | 8723278047 |
10 | 3412021120 |
11 | 14a0aa6a72 |
12 | 7b2819314 |
13 | 424b74611 |
14 | 245219d04 |
15 | 14e82e34a |
hex | cb5f4f80 |
3412021120 has 64 divisors (see below), whose sum is σ = 8167507200. Its totient is φ = 1363027968.
The previous prime is 3412021117. The next prime is 3412021133. The reversal of 3412021120 is 211202143.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 3412021094 and 3412021103.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 558241 + ... + 564319.
It is an arithmetic number, because the mean of its divisors is an integer number (127617300).
Almost surely, 23412021120 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 3412021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083753600).
3412021120 is an abundant number, since it is smaller than the sum of its proper divisors (4755486080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3412021120 is an equidigital number, since it uses as much as digits as its factorization.
3412021120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6975 (or 6963 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 3412021120 is about 58412.5082495179. The cubic root of 3412021120 is about 1505.4646777256.
Adding to 3412021120 its reverse (211202143), we get a palindrome (3623223263).
The spelling of 3412021120 in words is "three billion, four hundred twelve million, twenty-one thousand, one hundred twenty".
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