Base | Representation |
---|---|
bin | 10010101011010… |
… | …011001000000100 |
3 | 210211121100020202 |
4 | 102223103020010 |
5 | 1120203343140 |
6 | 51031550032 |
7 | 10523230631 |
oct | 2253231004 |
9 | 724540222 |
10 | 313340420 |
11 | 150966328 |
12 | 88b2b318 |
13 | 4cbbbc43 |
14 | 2d887188 |
15 | 1c796915 |
hex | 12ad3204 |
313340420 has 48 divisors (see below), whose sum is σ = 682526208. Its totient is φ = 120735360.
The previous prime is 313340411. The next prime is 313340429. The reversal of 313340420 is 24043313.
313340420 is digitally balanced in base 3, 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 (313340411) and next prime (313340429).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 313340392 and 313340401.
It is not an unprimeable number, because it can be changed into a prime (313340429) 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 15 ways as a sum of consecutive naturals, for example, 74165 + ... + 78275.
It is an arithmetic number, because the mean of its divisors is an integer number (14219296).
Almost surely, 2313340420 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 313340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341263104).
313340420 is an abundant number, since it is smaller than the sum of its proper divisors (369185788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313340420 is a wasteful number, since it uses less digits than its factorization.
313340420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4260 (or 4258 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 313340420 is about 17701.4242364845. The cubic root of 313340420 is about 679.2121931835.
Adding to 313340420 its reverse (24043313), we get a palindrome (337383733).
The spelling of 313340420 in words is "three hundred thirteen million, three hundred forty thousand, four hundred twenty".
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