| Base | Representation |
|---|---|
| bin | 10010101111001… |
| … | …001101000000000 |
| 3 | 210220111122020120 |
| 4 | 102233021220000 |
| 5 | 1120433200310 |
| 6 | 51105340240 |
| 7 | 10534634352 |
| oct | 2257115000 |
| 9 | 726448216 |
| 10 | 314350080 |
| 11 | 151495960 |
| 12 | 89337680 |
| 13 | 50183685 |
| 14 | 2da6b0d2 |
| 15 | 1c8e5b70 |
| hex | 12bc9a00 |
314350080 has 240 divisors, whose sum is σ = 1114562592. Its totient is φ = 74956800.
The previous prime is 314350073. The next prime is 314350087. The reversal of 314350080 is 80053413.
It is an interprime number because it is at equal distance from previous prime (314350073) and next prime (314350087).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 314350080.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (314350087) 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 23 ways as a sum of consecutive naturals, for example, 5153250 + ... + 5153310.
Almost surely, 2314350080 is an apocalyptic number.
314350080 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 314350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557281296).
314350080 is an abundant number, since it is smaller than the sum of its proper divisors (800212512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314350080 is an equidigital number, since it uses as much as digits as its factorization.
314350080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 159 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 314350080 is about 17729.9204735949. The cubic root of 314350080 is about 679.9409406608.
The spelling of 314350080 in words is "three hundred fourteen million, three hundred fifty thousand, eighty".
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