Base | Representation |
---|---|
bin | 10010101010111… |
… | …010111110011100 |
3 | 210211102022120001 |
4 | 102222322332130 |
5 | 1120142212000 |
6 | 51025504044 |
7 | 10522336345 |
oct | 2252727634 |
9 | 724368501 |
10 | 313241500 |
11 | 1508a8a80 |
12 | 88aa2024 |
13 | 4cb85c00 |
14 | 2d85d0cc |
15 | 1c77746a |
hex | 12abaf9c |
313241500 has 144 divisors (see below), whose sum is σ = 810534816. Its totient is φ = 104832000.
The previous prime is 313241479. The next prime is 313241503. The reversal of 313241500 is 5142313.
313241500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
313241500 is strictly pandigital in base 9.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (313241503) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929332 + ... + 929668.
It is an arithmetic number, because the mean of its divisors is an integer number (5628714).
Almost surely, 2313241500 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 313241500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405267408).
313241500 is an abundant number, since it is smaller than the sum of its proper divisors (497293316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313241500 is a wasteful number, since it uses less digits than its factorization.
313241500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 393 (or 368 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 19.
The square root of 313241500 is about 17698.6298904746. The cubic root of 313241500 is about 679.1407110325.
Adding to 313241500 its reverse (5142313), we get a palindrome (318383813).
The spelling of 313241500 in words is "three hundred thirteen million, two hundred forty-one thousand, five hundred".
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