Search a number
-
+
3111334314 = 231173733881
BaseRepresentation
bin1011100101110011…
…0011000110101010
322000211112011022020
42321130303012222
522333000144224
61232422405310
7140046622344
oct27134630652
98024464266
103111334314
1113572a3580
12729b90836
133a779602a
14217308294
15133236c79
hexb97331aa

3111334314 has 64 divisors (see below), whose sum is σ = 6898566528. Its totient is φ = 927590400.

The previous prime is 3111334309. The next prime is 3111334321. The reversal of 3111334314 is 4134331113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531154 + ... + 3532034.

It is an arithmetic number, because the mean of its divisors is an integer number (107790102).

Almost surely, 23111334314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111334314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449283264).

3111334314 is an abundant number, since it is smaller than the sum of its proper divisors (3787232214).

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

3111334314 is a wasteful number, since it uses less digits than its factorization.

3111334314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703.

The product of its digits is 1296, while the sum is 24.

The square root of 3111334314 is about 55779.3359049747. The cubic root of 3111334314 is about 1459.8746239370.

Adding to 3111334314 its reverse (4134331113), we get a palindrome (7245665427).

The spelling of 3111334314 in words is "three billion, one hundred eleven million, three hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 733 803 881 1466 1606 1762 2199 2409 2643 4398 4818 5286 8063 9691 16126 19382 24189 29073 48378 53509 58146 64313 107018 128626 160527 192939 321054 385878 588599 645773 707443 1177198 1291546 1414886 1765797 1937319 2122329 3531594 3874638 4244658 7103503 14207006 21310509 42621018 47141429 94282858 141424287 282848574 518555719 1037111438 1555667157 3111334314