Base | Representation |
---|---|
bin | 10011001000100… |
… | …001111110011100 |
3 | 211101000122220120 |
4 | 103020201332130 |
5 | 1124134102140 |
6 | 51504114540 |
7 | 10645325013 |
oct | 2310417634 |
9 | 741018816 |
10 | 321003420 |
11 | 15521a691 |
12 | 8b605a50 |
13 | 51672b6a |
14 | 308bda7a |
15 | 1d2ac1d0 |
hex | 13221f9c |
321003420 has 96 divisors (see below), whose sum is σ = 928972800. Its totient is φ = 82773504.
The previous prime is 321003409. The next prime is 321003439. The reversal of 321003420 is 24300123.
321003420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 321003420.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250341 + ... + 251619.
It is an arithmetic number, because the mean of its divisors is an integer number (9676800).
Almost surely, 2321003420 is an apocalyptic number.
321003420 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 321003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).
321003420 is an abundant number, since it is smaller than the sum of its proper divisors (607969380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
321003420 is a wasteful number, since it uses less digits than its factorization.
321003420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1427 (or 1425 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 321003420 is about 17916.5683098075. The cubic root of 321003420 is about 684.7045594010.
Adding to 321003420 its reverse (24300123), we get a palindrome (345303543).
The spelling of 321003420 in words is "three hundred twenty-one million, three thousand, four hundred twenty".
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