Base | Representation |
---|---|
bin | 10011101111111… |
… | …001011111100000 |
3 | 212002102222012120 |
4 | 103233321133200 |
5 | 1134304321420 |
6 | 52513224240 |
7 | 11132126214 |
oct | 2357713740 |
9 | 762388176 |
10 | 331323360 |
11 | 160029165 |
12 | 92b62080 |
13 | 53847234 |
14 | 32008944 |
15 | 1e149d40 |
hex | 13bf97e0 |
331323360 has 96 divisors (see below), whose sum is σ = 1053585792. Its totient is φ = 87513600.
The previous prime is 331323331. The next prime is 331323361. The reversal of 331323360 is 63323133.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×3313233603 (a number of 27 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 331323360.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (331323361) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48135 + ... + 54585.
It is an arithmetic number, because the mean of its divisors is an integer number (10974852).
Almost surely, 2331323360 is an apocalyptic number.
331323360 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 331323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526792896).
331323360 is an abundant number, since it is smaller than the sum of its proper divisors (722262432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331323360 is a wasteful number, since it uses less digits than its factorization.
331323360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6576 (or 6568 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 24.
The square root of 331323360 is about 18202.2899658257. The cubic root of 331323360 is about 691.9648260826.
Adding to 331323360 its reverse (63323133), we get a palindrome (394646493).
The spelling of 331323360 in words is "three hundred thirty-one million, three hundred twenty-three thousand, three hundred sixty".
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