Search a number
-
+
327163984 = 2472616841
BaseRepresentation
bin10011100000000…
…010000001010000
3211210121122121121
4103200002001100
51132223221414
652244132024
711051563600
oct2340020120
9753548547
10327163984
11158748164
1291697014
1352a1bc74
1431644c00
151dac7724
hex13802050

327163984 has 60 divisors (see below), whose sum is σ = 749568468. Its totient is φ = 137894400.

The previous prime is 327163957. The next prime is 327164003. The reversal of 327163984 is 489361723.

It can be written as a sum of positive squares in 2 ways, for example, as 110250000 + 216913984 = 10500^2 + 14728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 327163984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44404 + ... + 51244.

Almost surely, 2327163984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327163984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374784234).

327163984 is an abundant number, since it is smaller than the sum of its proper divisors (422404484).

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

327163984 is a wasteful number, since it uses less digits than its factorization.

327163984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6911 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 327163984 is about 18087.6749196794. The cubic root of 327163984 is about 689.0570217587.

It can be divided in two parts, 3271639 and 84, that added together give a palindrome (3271723).

The spelling of 327163984 in words is "three hundred twenty-seven million, one hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 392 427 488 784 854 976 1708 2989 3416 5978 6832 6841 11956 13682 23912 27364 47824 47887 54728 95774 109456 191548 335209 383096 417301 670418 766192 834602 1340836 1669204 2681672 2921107 3338408 5363344 5842214 6676816 11684428 20447749 23368856 40895498 46737712 81790996 163581992 327163984