Base | Representation |
---|---|
bin | 10011101110010… |
… | …111100110000000 |
3 | 212001200121011000 |
4 | 103232113212000 |
5 | 1134204003433 |
6 | 52500452000 |
7 | 11125536150 |
oct | 2356274600 |
9 | 761617130 |
10 | 330922368 |
11 | 15a884967 |
12 | 929aa000 |
13 | 5373686a |
14 | 31d42760 |
15 | 1e0bb113 |
hex | 13b97980 |
330922368 has 128 divisors (see below), whose sum is σ = 1116288000. Its totient is φ = 94542336.
The previous prime is 330922351. The next prime is 330922369. The reversal of 330922368 is 863229033.
330922368 is a `hidden beast` number, since 330 + 92 + 236 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×3309223682 = 219019227285454848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (330922369) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17353 + ... + 31031.
It is an arithmetic number, because the mean of its divisors is an integer number (8721000).
Almost surely, 2330922368 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 330922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558144000).
330922368 is an abundant number, since it is smaller than the sum of its proper divisors (785365632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330922368 is a wasteful number, since it uses less digits than its factorization.
330922368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13709 (or 13691 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 330922368 is about 18191.2717532337. The cubic root of 330922368 is about 691.6855577428.
The spelling of 330922368 in words is "three hundred thirty million, nine hundred twenty-two thousand, three hundred sixty-eight".
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