Search a number
-
+
320338355346252 = 22328898287648507
BaseRepresentation
bin100100011010110001001010…
…1111000001101101101001100
31120000020001021202200120221200
41020311202111320031231030
5313441410422432040002
63053145224151425500
7124321453033505265
oct11065422570155514
91500201252616850
10320338355346252
1193084808431121
122bb17877085290
1310998a1492b0b9
14591665dba796c
152707b082bab1c
hex1235895e0db4c

320338355346252 has 18 divisors (see below), whose sum is σ = 809744176014228. Its totient is φ = 106779451782072.

The previous prime is 320338355346203. The next prime is 320338355346253. The reversal of 320338355346252 is 252643553833023.

320338355346252 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 3 + 8 + 3 + 5 + 5 + 3 + 4 + 625 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (320338355346253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4449143824218 + ... + 4449143824289.

It is an arithmetic number, because the mean of its divisors is an integer number (44985787556346).

Almost surely, 2320338355346252 is an apocalyptic number.

It is an amenable number.

320338355346252 is an abundant number, since it is smaller than the sum of its proper divisors (489405820667976).

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

320338355346252 is a wasteful number, since it uses less digits than its factorization.

320338355346252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8898287648517 (or 8898287648512 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 54.

The spelling of 320338355346252 in words is "three hundred twenty trillion, three hundred thirty-eight billion, three hundred fifty-five million, three hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 8898287648507 17796575297014 26694862945521 35593150594028 53389725891042 80084588836563 106779451782084 160169177673126 320338355346252