| Base | Representation |
|---|---|
| bin | 110001011111011… |
| … | …001100100110000 |
| 3 | 2010212101100210000 |
| 4 | 301133121210300 |
| 5 | 3200030033200 |
| 6 | 214220310000 |
| 7 | 26401362600 |
| oct | 6137314460 |
| 9 | 2125340700 |
| 10 | 830314800 |
| 11 | 396766887 |
| 12 | 1b20a2300 |
| 13 | 103038243 |
| 14 | 7c3bac00 |
| 15 | 4cd64300 |
| hex | 317d9930 |
830314800 has 450 divisors, whose sum is σ = 3473080908. Its totient is φ = 189423360.
The previous prime is 830314787. The next prime is 830314813. The reversal of 830314800 is 8413038.
830314800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (830314787) and next prime (830314813).
It is a tau number, because it is divible by the number of its divisors (450).
It is a super-3 number, since 3×8303148003 (a number of 28 digits) contains 333 as substring.
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 an unprimeable number.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587339 + ... + 1587861.
Almost surely, 2830314800 is an apocalyptic number.
830314800 is a gapful number since it is divisible by the number (80) 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 830314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736540454).
830314800 is an abundant number, since it is smaller than the sum of its proper divisors (2642766108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
830314800 is a wasteful number, since it uses less digits than its factorization.
830314800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 567 (or 540 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
The square root of 830314800 is about 28815.1834975938. The cubic root of 830314800 is about 939.8984347787.
Adding to 830314800 its reverse (8413038), we get a palindrome (838727838).
The spelling of 830314800 in words is "eight hundred thirty million, three hundred fourteen thousand, eight hundred".
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