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313424020 = 22571331019
BaseRepresentation
bin10010101011100…
…111100010010100
3210211202120221001
4102223213202110
51120214032040
651033433044
710524026440
oct2253474224
9724676831
10313424020
11150a13118
1288b6b784
134cc1b000
142d8a9820
151c7b159a
hex12ae7894

313424020 has 96 divisors (see below), whose sum is σ = 815673600. Its totient is φ = 99096192.

The previous prime is 313424017. The next prime is 313424051. The reversal of 313424020 is 20424313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307071 + ... + 308089.

It is an arithmetic number, because the mean of its divisors is an integer number (8496600).

Almost surely, 2313424020 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 313424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407836800).

313424020 is an abundant number, since it is smaller than the sum of its proper divisors (502249580).

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

313424020 is a wasteful number, since it uses less digits than its factorization.

313424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 313424020 is about 17703.7854709099. The cubic root of 313424020 is about 679.2725929773.

Adding to 313424020 its reverse (20424313), we get a palindrome (333848333).

The spelling of 313424020 in words is "three hundred thirteen million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1019 1183 1690 1820 2038 2197 2366 3380 4076 4394 4732 5095 5915 7133 8788 10190 10985 11830 13247 14266 15379 20380 21970 23660 26494 28532 30758 35665 43940 52988 61516 66235 71330 76895 92729 132470 142660 153790 172211 185458 264940 307580 344422 370916 463645 688844 861055 927290 1205477 1722110 1854580 2238743 2410954 3444220 4477486 4821908 6027385 8954972 11193715 12054770 15671201 22387430 24109540 31342402 44774860 62684804 78356005 156712010 313424020