| Base | Representation |
|---|---|
| bin | 10011000001011… |
| … | …010100100100000 |
| 3 | 211020111220010220 |
| 4 | 103001122210200 |
| 5 | 1123144404310 |
| 6 | 51400123040 |
| 7 | 10623425502 |
| oct | 2301324440 |
| 9 | 736456126 |
| 10 | 319138080 |
| 11 | 154166188 |
| 12 | 8aa66480 |
| 13 | 5116bb01 |
| 14 | 30555d72 |
| 15 | 1d03e670 |
| hex | 1305a920 |
319138080 has 144 divisors (see below), whose sum is σ = 1027966464. Its totient is φ = 83223040.
The previous prime is 319138073. The next prime is 319138081. The reversal of 319138080 is 80831913.
319138080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3191380802 = 203698228212172800, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (319138081) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1670785 + ... + 1670975.
It is an arithmetic number, because the mean of its divisors is an integer number (7138656).
Almost surely, 2319138080 is an apocalyptic number.
319138080 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 319138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513983232).
319138080 is an abundant number, since it is smaller than the sum of its proper divisors (708828384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
319138080 is a wasteful number, since it uses less digits than its factorization.
319138080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 327 (or 260 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 33.
The square root of 319138080 is about 17864.4361791801. The cubic root of 319138080 is about 683.3757171146.
Adding to 319138080 its reverse (80831913), we get a palindrome (399969993).
It can be divided in two parts, 31913 and 8080, that added together give a palindrome (39993).
The spelling of 319138080 in words is "three hundred nineteen million, one hundred thirty-eight thousand, eighty".
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