Base | Representation |
---|---|
bin | 10010000111100… |
… | …110110111011010 |
3 | 210011222222210000 |
4 | 102013212313122 |
5 | 1110304442330 |
6 | 50055233430 |
7 | 10350551664 |
oct | 2207466732 |
9 | 704888700 |
10 | 303984090 |
11 | 146655823 |
12 | 85978876 |
13 | 4ac94357 |
14 | 2c52d534 |
15 | 1ba49560 |
hex | 121e6dda |
303984090 has 80 divisors (see below), whose sum is σ = 845630280. Its totient is φ = 78261120.
The previous prime is 303984073. The next prime is 303984101. The reversal of 303984090 is 90489303.
It can be written as a sum of positive squares in 4 ways, for example, as 274531761 + 29452329 = 16569^2 + 5427^2 .
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17020 + ... + 29960.
Almost surely, 2303984090 is an apocalyptic number.
303984090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 303984090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422815140).
303984090 is an abundant number, since it is smaller than the sum of its proper divisors (541646190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
303984090 is a wasteful number, since it uses less digits than its factorization.
303984090 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12989 (or 12980 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The square root of 303984090 is about 17435.1395176523. The cubic root of 303984090 is about 672.3833511050.
The spelling of 303984090 in words is "three hundred three million, nine hundred eighty-four thousand, ninety".
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