[go: up one dir, main page]

Search a number
-
+
313215342 = 2311191012473
BaseRepresentation
bin10010101010110…
…100100101101110
3210211100222200020
4102222310211232
51120140342332
651025143010
710522200156
oct2252644556
9724328606
10313215342
11150890360
1288a8aa66
134cb7702b
142d853766
151c76e82c
hex12ab496e

313215342 has 64 divisors (see below), whose sum is σ = 726762240. Its totient is φ = 88992000.

The previous prime is 313215317. The next prime is 313215349. The reversal of 313215342 is 243512313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313215349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125418 + ... + 127890.

It is an arithmetic number, because the mean of its divisors is an integer number (11355660).

Almost surely, 2313215342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313215342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363381120).

313215342 is an abundant number, since it is smaller than the sum of its proper divisors (413546898).

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

313215342 is a wasteful number, since it uses less digits than its factorization.

313215342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609.

The product of its digits is 2160, while the sum is 24.

The square root of 313215342 is about 17697.8908912898. The cubic root of 313215342 is about 679.1218060692.

Adding to 313215342 its reverse (243512313), we get a palindrome (556727655).

It can be divided in two parts, 31321 and 5342, that added together give a palindrome (36663).

The spelling of 313215342 in words is "three hundred thirteen million, two hundred fifteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 202 209 303 418 606 627 1111 1254 1919 2222 2473 3333 3838 4946 5757 6666 7419 11514 14838 21109 27203 42218 46987 54406 63327 81609 93974 126654 140961 163218 249773 281922 499546 516857 749319 1033714 1498638 1550571 2747503 3101142 4745687 5495006 8242509 9491374 14237061 16485018 28474122 52202557 104405114 156607671 313215342