| Base | Representation |
|---|---|
| bin | 10011000001010… |
| … | …100100000000000 |
| 3 | 211020110122001000 |
| 4 | 103001110200000 |
| 5 | 1123143110331 |
| 6 | 51355412000 |
| 7 | 10623263142 |
| oct | 2301244000 |
| 9 | 736418030 |
| 10 | 319113216 |
| 11 | 154149534 |
| 12 | 8aa54000 |
| 13 | 511606b6 |
| 14 | 3054ac92 |
| 15 | 1d0370e6 |
| hex | 13054800 |
319113216 has 192 divisors, whose sum is σ = 982800000. Its totient is φ = 102187008.
The previous prime is 319113211. The next prime is 319113217. The reversal of 319113216 is 612311913.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 319113216.
It is not an unprimeable number, because it can be changed into a prime (319113211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603485 + ... + 1603683.
It is an arithmetic number, because the mean of its divisors is an integer number (5118750).
Almost surely, 2319113216 is an apocalyptic number.
319113216 is a gapful number since it is divisible by the number (36) 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 319113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400000).
319113216 is an abundant number, since it is smaller than the sum of its proper divisors (663686784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
319113216 is a wasteful number, since it uses less digits than its factorization.
319113216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 259 (or 233 counting only the distinct ones).
The product of its digits is 972, while the sum is 27.
The square root of 319113216 is about 17863.7402578519. The cubic root of 319113216 is about 683.3579694205.
The spelling of 319113216 in words is "three hundred nineteen million, one hundred thirteen thousand, two hundred sixteen".
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