Search a number
-
+
323328107412 = 223217528313901
BaseRepresentation
bin1001011010001111101…
…10110110001110010100
31010220120021212200002100
410231013312312032110
520244133443414122
6404311311242100
732234241365322
oct4550766661624
91126507780070
10323328107412
11115139318712
12527b5b19330
1324649b7a26b
141191343cd12
1586256d0aac
hex4b47db6394

323328107412 has 36 divisors (see below), whose sum is σ = 865378171476. Its totient is φ = 101436268800.

The previous prime is 323328107393. The next prime is 323328107449. The reversal of 323328107412 is 214701823323.

323328107412 is a `hidden beast` number, since 3 + 233 + 2 + 8 + 1 + 0 + 7 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 264704076036 + 58624031376 = 514494^2 + 242124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264156339 + ... + 264157562.

It is an arithmetic number, because the mean of its divisors is an integer number (24038282541).

Almost surely, 2323328107412 is an apocalyptic number.

It is an amenable number.

323328107412 is an abundant number, since it is smaller than the sum of its proper divisors (542050064064).

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

323328107412 is a wasteful number, since it uses less digits than its factorization.

323328107412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528313928 (or 528313923 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 323328107412 in words is "three hundred twenty-three billion, three hundred twenty-eight million, one hundred seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 528313901 1056627802 1584941703 2113255604 3169883406 4754825109 6339766812 8981336317 9509650218 17962672634 19019300436 26944008951 35925345268 53888017902 80832026853 107776035804 161664053706 323328107412