Search a number
-
+
328340394198 = 232471492925997
BaseRepresentation
bin1001100011100101001…
…11001101000011010110
31011101111121101012221200
410301302213031003112
520334420120103243
6410500522053330
732502403205325
oct4616247150326
91141447335850
10328340394198
11117280657993
125377464a246
1324c6841b52b
1411c6adbc0bc
15881a762ad3
hex4c729cd0d6

328340394198 has 48 divisors (see below), whose sum is σ = 726617062080. Its totient is φ = 107106847488.

The previous prime is 328340394191. The next prime is 328340394253. The reversal of 328340394198 is 891493043823.

328340394198 is a `hidden beast` number, since 3 + 28 + 3 + 40 + 394 + 198 = 666.

It is a super-3 number, since 3×3283403941983 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328340394191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12616936 + ... + 12642932.

It is an arithmetic number, because the mean of its divisors is an integer number (15137855460).

Almost surely, 2328340394198 is an apocalyptic number.

328340394198 is an abundant number, since it is smaller than the sum of its proper divisors (398276667882).

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

328340394198 is a wasteful number, since it uses less digits than its factorization.

328340394198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40981 (or 40978 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 328340394198 in words is "three hundred twenty-eight billion, three hundred forty million, three hundred ninety-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 14929 25997 29858 44787 51994 77991 89574 134361 155982 233973 268722 467946 701663 1221859 1403326 2104989 2443718 3665577 4209978 6314967 7331154 10996731 12629934 21993462 388109213 776218426 1164327639 2328655278 3492982917 6985965834 18241133011 36482266022 54723399033 109446798066 164170197099 328340394198