Search a number
-
+
3301312314 = 231722325961
BaseRepresentation
bin1100010011000110…
…0000011100111010
322112002000001010110
43010301200130322
523230113443224
61303330325150
7144544456146
oct30461403472
98462001113
103301312314
111444560893
127817297b6
13407c51751
1423463c226
15144c61929
hexc4c6073a

3301312314 has 144 divisors (see below), whose sum is σ = 7578577440. Its totient is φ = 957918720.

The previous prime is 3301312307. The next prime is 3301312327. The reversal of 3301312314 is 4132131033.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54119844 + ... + 54119904.

It is an arithmetic number, because the mean of its divisors is an integer number (52629010).

Almost surely, 23301312314 is an apocalyptic number.

3301312314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3301312314 is an abundant number, since it is smaller than the sum of its proper divisors (4277265126).

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

3301312314 is a wasteful number, since it uses less digits than its factorization.

3301312314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3301312314 is about 57457.0475572840. The cubic root of 3301312314 is about 1489.0028783518.

Adding to 3301312314 its reverse (4132131033), we get a palindrome (7433443347).

It can be divided in two parts, 3301 and 312314, that added together give a triangular number (315615 = T794).

The spelling of 3301312314 in words is "three billion, three hundred one million, three hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 23 34 46 51 59 61 69 102 118 122 138 177 183 289 354 366 391 529 578 782 867 1003 1037 1058 1173 1357 1403 1587 1734 2006 2074 2346 2714 2806 3009 3111 3174 3599 4071 4209 6018 6222 6647 7198 8142 8418 8993 10797 13294 17051 17629 17986 19941 21594 23069 23851 26979 31211 32269 34102 35258 39882 46138 47702 51153 52887 53958 61183 62422 64538 69207 71553 82777 93633 96807 102306 105774 122366 138414 143106 152881 165554 183549 187266 193614 248331 305762 367098 392173 405467 458643 496662 530587 548573 784346 810934 917286 1040111 1061174 1097146 1176519 1216401 1407209 1591761 1645719 1903871 2080222 2353038 2432802 2814418 3120333 3183522 3291438 3807742 4221627 5711613 6240666 8443254 9019979 9325741 11423226 18039958 18651482 23922553 27059937 27977223 32365807 47845106 54119874 55954446 64731614 71767659 97097421 143535318 194194842 550218719 1100437438 1650656157 3301312314