Base | Representation |
---|---|
bin | 10010101110111… |
… | …111110101110000 |
3 | 210220102121021010 |
4 | 102232333311300 |
5 | 1120430410000 |
6 | 51104430520 |
7 | 10534406454 |
oct | 2256776560 |
9 | 726377233 |
10 | 314310000 |
11 | 151468834 |
12 | 89318440 |
13 | 5016b364 |
14 | 2da5a664 |
15 | 1c8d8d50 |
hex | 12bbfd70 |
314310000 has 100 divisors (see below), whose sum is σ = 1014731432. Its totient is φ = 83808000.
The previous prime is 314309993. The next prime is 314310001. The reversal of 314310000 is 13413.
314310000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (100).
It is a super-2 number, since 2×3143100002 = 197581552200000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (314310001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24762 + ... + 35238.
Almost surely, 2314310000 is an apocalyptic number.
314310000 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 314310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507365716).
314310000 is an abundant number, since it is smaller than the sum of its proper divisors (700421432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314310000 is a wasteful number, since it uses less digits than its factorization.
314310000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10508 (or 10487 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 314310000 is about 17728.7901448463. The cubic root of 314310000 is about 679.9120416796.
Adding to 314310000 its reverse (13413), we get a palindrome (314323413).
The spelling of 314310000 in words is "three hundred fourteen million, three hundred ten thousand".
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