Base | Representation |
---|---|
bin | 110000010011000… |
… | …010110000000000 |
3 | 2002110201102101200 |
4 | 300103002300000 |
5 | 3124414021433 |
6 | 212223301200 |
7 | 26036264625 |
oct | 6023026000 |
9 | 2073642350 |
10 | 810298368 |
11 | 386435180 |
12 | 1a744a800 |
13 | cbb4a4b9 |
14 | 7988a34c |
15 | 4b20d613 |
hex | 304c2c00 |
810298368 has 132 divisors (see below), whose sum is σ = 2552740008. Its totient is φ = 245514240.
The previous prime is 810298361. The next prime is 810298369. The reversal of 810298368 is 863892018.
It is a tau number, because it is divible by the number of its divisors (132).
It is not an unprimeable number, because it can be changed into a prime (810298361) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97380 + ... + 105372.
Almost surely, 2810298368 is an apocalyptic number.
810298368 is a gapful number since it is divisible by the number (88) 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 810298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276370004).
810298368 is an abundant number, since it is smaller than the sum of its proper divisors (1742441640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
810298368 is a wasteful number, since it uses less digits than its factorization.
810298368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8030 (or 8009 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 45.
The square root of 810298368 is about 28465.7402503430. The cubic root of 810298368 is about 932.2841943711.
The spelling of 810298368 in words is "eight hundred ten million, two hundred ninety-eight thousand, three hundred sixty-eight".
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