Base | Representation |
---|---|
bin | 10011110101010… |
… | …000111011000000 |
3 | 212012002102211010 |
4 | 103311100323000 |
5 | 1140134330143 |
6 | 53003320520 |
7 | 11150105310 |
oct | 2365207300 |
9 | 765072733 |
10 | 332730048 |
11 | 1608aa012 |
12 | 93520140 |
13 | 53c1a5b1 |
14 | 32293440 |
15 | 1e326a33 |
hex | 13d50ec0 |
332730048 has 112 divisors (see below), whose sum is σ = 1033458944. Its totient is φ = 92482560.
The previous prime is 332730043. The next prime is 332730059. The reversal of 332730048 is 840037233.
332730048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×3327300482 = 221418569684164608, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 332729997 and 332730024.
It is not an unprimeable number, because it can be changed into a prime (332730043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46383 + ... + 53073.
It is an arithmetic number, because the mean of its divisors is an integer number (9227312).
Almost surely, 2332730048 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 332730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516729472).
332730048 is an abundant number, since it is smaller than the sum of its proper divisors (700728896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332730048 is a wasteful number, since it uses less digits than its factorization.
332730048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6750 (or 6740 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 30.
The square root of 332730048 is about 18240.8894519977. The cubic root of 332730048 is about 692.9427270580.
The spelling of 332730048 in words is "three hundred thirty-two million, seven hundred thirty thousand, forty-eight".
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