Base | Representation |
---|---|
bin | 10100110000110… |
… | …101011010010000 |
3 | 220021110210212201 |
4 | 110300311122100 |
5 | 1203134033000 |
6 | 54322132544 |
7 | 11426615002 |
oct | 2460653220 |
9 | 807423781 |
10 | 348346000 |
11 | 1696a5562 |
12 | 987b1154 |
13 | 572273c2 |
14 | 3439a372 |
15 | 208ad96a |
hex | 14c35690 |
348346000 has 160 divisors (see below), whose sum is σ = 905299200. Its totient is φ = 129254400.
The previous prime is 348345989. The next prime is 348346001. The reversal of 348346000 is 643843.
It is a self number, because there is not a number n which added to its sum of digits gives 348346000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (348346001) 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, 3381949 + ... + 3382051.
It is an arithmetic number, because the mean of its divisors is an integer number (5658120).
Almost surely, 2348346000 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 348346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452649600).
348346000 is an abundant number, since it is smaller than the sum of its proper divisors (556953200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
348346000 is a wasteful number, since it uses less digits than its factorization.
348346000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 234 (or 218 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 28.
The square root of 348346000 is about 18664.0295756302. The cubic root of 348346000 is about 703.6180025587.
Adding to 348346000 its reverse (643843), we get a palindrome (348989843).
The spelling of 348346000 in words is "three hundred forty-eight million, three hundred forty-six thousand".
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