| Base | Representation |
|---|---|
| bin | 10010101111001… |
| … | …111101110000000 |
| 3 | 210220112220111000 |
| 4 | 102233033232000 |
| 5 | 1120440000130 |
| 6 | 51110052000 |
| 7 | 10535100210 |
| oct | 2257175600 |
| 9 | 726486430 |
| 10 | 314375040 |
| 11 | 151502691 |
| 12 | 8934a000 |
| 13 | 50191b45 |
| 14 | 2da76240 |
| 15 | 1c8ed260 |
| hex | 12bcfb80 |
314375040 has 512 divisors, whose sum is σ = 1339545600. Its totient is φ = 68124672.
The previous prime is 314375027. The next prime is 314375041. The reversal of 314375040 is 40573413.
314375040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 314374995 and 314375013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (314375041) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782024 + ... + 2782136.
It is an arithmetic number, because the mean of its divisors is an integer number (2616300).
Almost surely, 2314375040 is an apocalyptic number.
314375040 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 314375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).
314375040 is an abundant number, since it is smaller than the sum of its proper divisors (1025170560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314375040 is a wasteful number, since it uses less digits than its factorization.
314375040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 171 (or 153 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 314375040 is about 17730.6243544890. The cubic root of 314375040 is about 679.9589363900.
The spelling of 314375040 in words is "three hundred fourteen million, three hundred seventy-five thousand, forty".
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