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313243420 = 225710122153
BaseRepresentation
bin10010101010111…
…011011100011100
3210211102102012011
4102222323130130
51120142242140
651025521004
710522345060
oct2252733434
9724372164
10313243420
111508aa466
1288aa3164
134cb86a49
142d85daa0
151c777cea
hex12abb71c

313243420 has 48 divisors (see below), whose sum is σ = 759261888. Its totient is φ = 106329600.

The previous prime is 313243397. The next prime is 313243423. The reversal of 313243420 is 24342313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313243391 and 313243400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313243423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064 + ... + 25216.

It is an arithmetic number, because the mean of its divisors is an integer number (15817956).

Almost surely, 2313243420 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 313243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379630944).

313243420 is an abundant number, since it is smaller than the sum of its proper divisors (446018468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313243420 is a wasteful number, since it uses less digits than its factorization.

313243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22270 (or 22268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 313243420 is about 17698.6841318783. The cubic root of 313243420 is about 679.1420986174.

Adding to 313243420 its reverse (24342313), we get a palindrome (337585733).

The spelling of 313243420 in words is "three hundred thirteen million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 22153 44306 88612 110765 155071 221530 310142 443060 620284 775355 1550710 2237453 3101420 4474906 8949812 11187265 15662171 22374530 31324342 44749060 62648684 78310855 156621710 313243420