Base | Representation |
---|---|
bin | 10010101110101… |
… | …110111111101100 |
3 | 210220022002121201 |
4 | 102232232333230 |
5 | 1120421203004 |
6 | 51103135244 |
7 | 10534001350 |
oct | 2256567754 |
9 | 726262551 |
10 | 314241004 |
11 | 151420a10 |
12 | 892a4524 |
13 | 50145b2c |
14 | 2da3d460 |
15 | 1c8c36a4 |
hex | 12baefec |
314241004 has 48 divisors (see below), whose sum is σ = 689230080. Its totient is φ = 121786560.
The previous prime is 314241001. The next prime is 314241007. The reversal of 314241004 is 400142413.
It is an interprime number because it is at equal distance from previous prime (314241001) and next prime (314241007).
It is not an unprimeable number, because it can be changed into a prime (314241001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58087 + ... + 63265.
It is an arithmetic number, because the mean of its divisors is an integer number (14358960).
Almost surely, 2314241004 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 314241004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344615040).
314241004 is an abundant number, since it is smaller than the sum of its proper divisors (374989076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314241004 is a wasteful number, since it uses less digits than its factorization.
314241004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5398 (or 5396 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 314241004 is about 17726.8441635842. The cubic root of 314241004 is about 679.8622875682.
Adding to 314241004 its reverse (400142413), we get a palindrome (714383417).
The spelling of 314241004 in words is "three hundred fourteen million, two hundred forty-one thousand, four".
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