Search a number
-
+
4312324401 = 371147735441
BaseRepresentation
bin1000000010000100…
…01101100100110001
3102010112101202222120
410001002031210301
532312423340101
61551524024453
7211602103230
oct40102154461
912115352876
104312324401
111913216170
12a04232129
13539546058
142cca14b17
151a38bab36
hex10108d931

4312324401 has 64 divisors (see below), whose sum is σ = 7422713856. Its totient is φ = 2162073600.

The previous prime is 4312324369. The next prime is 4312324403. The reversal of 4312324401 is 1044232134.

It is not a de Polignac number, because 4312324401 - 25 = 4312324369 is a prime.

It is a super-2 number, since 2×43123244012 = 37192283478920017602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4312324403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 789841 + ... + 795281.

It is an arithmetic number, because the mean of its divisors is an integer number (115979904).

Almost surely, 24312324401 is an apocalyptic number.

It is an amenable number.

4312324401 is a deficient number, since it is larger than the sum of its proper divisors (3110389455).

4312324401 is a wasteful number, since it uses less digits than its factorization.

4312324401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4312324401 is about 65668.2906812717. The cubic root of 4312324401 is about 1627.6854249199.

Adding to 4312324401 its reverse (1044232134), we get a palindrome (5356556535).

The spelling of 4312324401 in words is "four billion, three hundred twelve million, three hundred twenty-four thousand, four hundred one".

Divisors: 1 3 7 11 21 33 47 73 77 141 219 231 329 511 517 803 987 1533 1551 2409 3431 3619 5441 5621 10293 10857 16323 16863 24017 37741 38087 59851 72051 113223 114261 179553 255727 264187 397193 418957 767181 792561 1191579 1256871 1790089 2780351 2812997 4369123 5370267 8341053 8438991 13107369 18668071 19690979 30583861 56004213 59072937 91751583 130676497 205348781 392029491 616046343 1437441467 4312324401