Base | Representation |
---|---|
bin | 10100011101101… |
… | …000011010100000 |
3 | 212221000001120110 |
4 | 110131220122200 |
5 | 1200341441112 |
6 | 54022211320 |
7 | 11336050500 |
oct | 2435503240 |
9 | 787001513 |
10 | 343312032 |
11 | 166877458 |
12 | 96b83b40 |
13 | 5618401b |
14 | 33849a00 |
15 | 2021713c |
hex | 147686a0 |
343312032 has 144 divisors (see below), whose sum is σ = 1066957920. Its totient is φ = 96348672.
The previous prime is 343311989. The next prime is 343312033. The reversal of 343312032 is 230213343.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is not an unprimeable number, because it can be changed into a prime (343312033) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276918 + ... + 278154.
It is an arithmetic number, because the mean of its divisors is an integer number (7409430).
Almost surely, 2343312032 is an apocalyptic number.
343312032 is a gapful number since it is divisible by the number (32) 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 343312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533478960).
343312032 is an abundant number, since it is smaller than the sum of its proper divisors (723645888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343312032 is a wasteful number, since it uses less digits than its factorization.
343312032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1323 (or 1308 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 21.
The square root of 343312032 is about 18528.6813346228. The cubic root of 343312032 is about 700.2122023318.
Adding to 343312032 its reverse (230213343), we get a palindrome (573525375).
It can be divided in two parts, 34331 and 2032, that added together give a palindrome (36363).
The spelling of 343312032 in words is "three hundred forty-three million, three hundred twelve thousand, thirty-two".
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