Base | Representation |
---|---|
bin | 10011101011111… |
… | …111111110100000 |
3 | 212000112001021010 |
4 | 103223333332200 |
5 | 1134024120334 |
6 | 52435300520 |
7 | 11120341452 |
oct | 2353777640 |
9 | 760461233 |
10 | 330301344 |
11 | 15a4a031a |
12 | 9274a740 |
13 | 53579ca9 |
14 | 31c202d2 |
15 | 1dee70e9 |
hex | 13afffa0 |
330301344 has 96 divisors (see below), whose sum is σ = 910103040. Its totient is φ = 104690432.
The previous prime is 330301343. The next prime is 330301399. The reversal of 330301344 is 443103033.
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 330301344.
It is not an unprimeable number, because it can be changed into a prime (330301343) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500887 + ... + 501545.
It is an arithmetic number, because the mean of its divisors is an integer number (9480240).
Almost surely, 2330301344 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 330301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).
330301344 is an abundant number, since it is smaller than the sum of its proper divisors (579801696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330301344 is a wasteful number, since it uses less digits than its factorization.
330301344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 922 (or 914 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 21.
The square root of 330301344 is about 18174.1944525748. The cubic root of 330301344 is about 691.2526039140.
Adding to 330301344 its reverse (443103033), we get a palindrome (773404377).
The spelling of 330301344 in words is "three hundred thirty million, three hundred one thousand, three hundred forty-four".
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