| Base | Representation |
|---|---|
| bin | 10101110111111… |
| … | …111001001100000 |
| 3 | 221120120102202200 |
| 4 | 111313333021200 |
| 5 | 1222422414422 |
| 6 | 100230013200 |
| 7 | 12044301225 |
| oct | 2567771140 |
| 9 | 846512680 |
| 10 | 366998112 |
| 11 | 179185128 |
| 12 | a2aa7200 |
| 13 | 5b058160 |
| 14 | 36a5394c |
| 15 | 223452ac |
| hex | 15dff260 |
366998112 has 144 divisors (see below), whose sum is σ = 1138436208. Its totient is φ = 111467520.
The previous prime is 366998111. The next prime is 366998117. The reversal of 366998112 is 211899663.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3669981122 = 269375228423129088, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (366998111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310162 + ... + 311342.
It is an arithmetic number, because the mean of its divisors is an integer number (7905807).
Almost surely, 2366998112 is an apocalyptic number.
366998112 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 366998112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569218104).
366998112 is an abundant number, since it is smaller than the sum of its proper divisors (771438096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
366998112 is a wasteful number, since it uses less digits than its factorization.
366998112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1293 (or 1282 counting only the distinct ones).
The product of its digits is 139968, while the sum is 45.
The square root of 366998112 is about 19157.1947842058. The cubic root of 366998112 is about 715.9586547498.
The spelling of 366998112 in words is "three hundred sixty-six million, nine hundred ninety-eight thousand, one hundred twelve".
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