| Base | Representation |
|---|---|
| bin | 10010100011110… |
| … | …000100110100000 |
| 3 | 210200212221010000 |
| 4 | 102203300212200 |
| 5 | 1114202122000 |
| 6 | 50521340000 |
| 7 | 10500356523 |
| oct | 2243604640 |
| 9 | 720787100 |
| 10 | 311364000 |
| 11 | 14a836422 |
| 12 | 88337600 |
| 13 | 4c67946c |
| 14 | 2d4d0bba |
| 15 | 1c506000 |
| hex | 128f09a0 |
311364000 has 360 divisors, whose sum is σ = 1180863684. Its totient is φ = 80352000.
The previous prime is 311363999. The next prime is 311364007. The reversal of 311364000 is 463113.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 210482064 + 100881936 = 14508^2 + 10044^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (311364007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10043985 + ... + 10044015.
Almost surely, 2311364000 is an apocalyptic number.
311364000 is a gapful number since it is divisible by the number (30) 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 311364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590431842).
311364000 is an abundant number, since it is smaller than the sum of its proper divisors (869499684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311364000 is an equidigital number, since it uses as much as digits as its factorization.
311364000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 311364000 is about 17645.5093437396. The cubic root of 311364000 is about 677.7811181616.
The spelling of 311364000 in words is "three hundred eleven million, three hundred sixty-four thousand".
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