Base | Representation |
---|---|
bin | 10011110011101… |
… | …000001101011000 |
3 | 212011021122110210 |
4 | 103303220031120 |
5 | 1140032114034 |
6 | 52550211120 |
7 | 11143341000 |
oct | 2363501530 |
9 | 764248423 |
10 | 332301144 |
11 | 16063684a |
12 | 93353aa0 |
13 | 53aca2c6 |
14 | 321c1000 |
15 | 1e28e8e9 |
hex | 13ce8358 |
332301144 has 128 divisors (see below), whose sum is σ = 995904000. Its totient is φ = 92292480.
The previous prime is 332301143. The next prime is 332301197. The reversal of 332301144 is 441103233.
It is a super-2 number, since 2×3323011442 = 220848100607417472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 332301144.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (332301143) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304039 + ... + 305129.
It is an arithmetic number, because the mean of its divisors is an integer number (7780500).
Almost surely, 2332301144 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 332301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497952000).
332301144 is an abundant number, since it is smaller than the sum of its proper divisors (663602856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332301144 is a wasteful number, since it uses less digits than its factorization.
332301144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
The square root of 332301144 is about 18229.1289972944. The cubic root of 332301144 is about 692.6448542483.
Adding to 332301144 its reverse (441103233), we get a palindrome (773404377).
It can be divided in two parts, 332 and 301144, that added together give a triangular number (301476 = T776).
The spelling of 332301144 in words is "three hundred thirty-two million, three hundred one thousand, one hundred forty-four".
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