Base | Representation |
---|---|
bin | 1101000011101110010000 |
3 | 20102220122020 |
4 | 31003232100 |
5 | 1334014440 |
6 | 201211440 |
7 | 41044641 |
oct | 15035620 |
9 | 6386566 |
10 | 3423120 |
11 | 1a28928 |
12 | 1190b80 |
13 | 92b11c |
14 | 6516c8 |
15 | 4793d0 |
hex | 343b90 |
3423120 has 80 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 858112.
The previous prime is 3423083. The next prime is 3423139. The reversal of 3423120 is 213243.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×34231203 (a number of 21 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 3423120.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661 + ... + 4499.
It is an arithmetic number, because the mean of its divisors is an integer number (140616).
Almost surely, 23423120 is an apocalyptic number.
3423120 is a gapful number since it is divisible by the number (30) 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 3423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).
3423120 is an abundant number, since it is smaller than the sum of its proper divisors (7826160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3423120 is a wasteful number, since it uses less digits than its factorization.
3423120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 872 (or 866 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 3423120 is about 1850.1675599794. The cubic root of 3423120 is about 150.7095274028.
Adding to 3423120 its reverse (213243), we get a palindrome (3636363).
The spelling of 3423120 in words is "three million, four hundred twenty-three thousand, one hundred twenty".
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