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313740126 = 23274379733
BaseRepresentation
bin10010101100110…
…100101101011110
3210212100122112200
4102230310231132
51120304141001
651044312330
710526514150
oct2254645536
9725318480
10313740126
11151109667
12890a26a6
134cccbb5b
142d94cad0
151c825086
hex12b34b5e

313740126 has 96 divisors (see below), whose sum is σ = 806108160. Its totient is φ = 86329152.

The previous prime is 313740113. The next prime is 313740127. The reversal of 313740126 is 621047313.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313740126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313740127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427656 + ... + 428388.

It is an arithmetic number, because the mean of its divisors is an integer number (8396960).

Almost surely, 2313740126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313740126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403054080).

313740126 is an abundant number, since it is smaller than the sum of its proper divisors (492368034).

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

313740126 is a wasteful number, since it uses less digits than its factorization.

313740126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 313740126 is about 17712.7108597188. The cubic root of 313740126 is about 679.5008779656.

Adding to 313740126 its reverse (621047313), we get a palindrome (934787439).

The spelling of 313740126 in words is "three hundred thirteen million, seven hundred forty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 79 86 126 129 158 237 258 301 387 474 553 602 711 733 774 903 1106 1422 1466 1659 1806 2199 2709 3318 3397 4398 4977 5131 5418 6597 6794 9954 10191 10262 13194 15393 20382 23779 30573 30786 31519 46179 47558 57907 61146 63038 71337 92358 94557 115814 142674 173721 189114 214011 220633 283671 347442 405349 428022 441266 521163 567342 661899 810698 1042326 1216047 1323798 1985697 2432094 2490001 3648141 3971394 4980002 7296282 7470003 14940006 17430007 22410009 34860014 44820018 52290021 104580042 156870063 313740126