Base | Representation |
---|---|
bin | 10011101100000… |
… | …000011010100100 |
3 | 212000112010201122 |
4 | 103230000122210 |
5 | 1134024200030 |
6 | 52435313112 |
7 | 11120346626 |
oct | 2354003244 |
9 | 760463648 |
10 | 330303140 |
11 | 15a4a1702 |
12 | 9274b798 |
13 | 5357aa5b |
14 | 31c20c16 |
15 | 1dee78e5 |
hex | 13b006a4 |
330303140 has 48 divisors (see below), whose sum is σ = 719523840. Its totient is φ = 127232640.
The previous prime is 330303137. The next prime is 330303143. The reversal of 330303140 is 41303033.
330303140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (330303137) and next prime (330303143).
It is a super-3 number, since 3×3303031403 (a number of 27 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (330303143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137066 + ... + 139454.
It is an arithmetic number, because the mean of its divisors is an integer number (14990080).
Almost surely, 2330303140 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 330303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359761920).
330303140 is an abundant number, since it is smaller than the sum of its proper divisors (389220700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330303140 is a wasteful number, since it uses less digits than its factorization.
330303140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2652 (or 2650 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 17.
The square root of 330303140 is about 18174.2438632258. The cubic root of 330303140 is about 691.2538567976.
Adding to 330303140 its reverse (41303033), we get a palindrome (371606173).
The spelling of 330303140 in words is "three hundred thirty million, three hundred three thousand, one hundred forty".
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