Search a number
-
+
313204242 = 231353239317
BaseRepresentation
bin10010101010110…
…001111000010010
3210211100102110010
4102222301320102
51120140013432
651025015350
710522122621
oct2252617022
9724312403
10313204242
11150882a8a
1288a84556
134cb71c70
142d84d6b8
151c76b3cc
hex12ab1e12

313204242 has 64 divisors (see below), whose sum is σ = 692375040. Its totient is φ = 93859584.

The previous prime is 313204231. The next prime is 313204279. The reversal of 313204242 is 242402313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987868 + ... + 988184.

It is an arithmetic number, because the mean of its divisors is an integer number (10818360).

Almost surely, 2313204242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313204242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346187520).

313204242 is an abundant number, since it is smaller than the sum of its proper divisors (379170798).

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

313204242 is a wasteful number, since it uses less digits than its factorization.

313204242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 313204242 is about 17697.5772918216. The cubic root of 313204242 is about 679.1137835363.

Adding to 313204242 its reverse (242402313), we get a palindrome (555606555).

The spelling of 313204242 in words is "three hundred thirteen million, two hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 239 317 318 478 634 689 717 951 1378 1434 1902 2067 3107 4121 4134 6214 8242 9321 12363 12667 16801 18642 24726 25334 33602 38001 50403 75763 76002 100806 151526 164671 218413 227289 329342 436826 454578 494013 655239 984919 988026 1310478 1969838 2954757 4015439 5909514 8030878 12046317 24092634 52200707 104401414 156602121 313204242