Search a number
-
+
327442232 = 23132475153
BaseRepresentation
bin10011100001000…
…101111100111000
3211211010210022002
4103201011330320
51132311122412
652254120132
711054133035
oct2341057470
9754123262
10327442232
11158918217
12917b0048
1352ab8800
14316b838c
151db2edc2
hex13845f38

327442232 has 48 divisors (see below), whose sum is σ = 679091040. Its totient is φ = 147883008.

The previous prime is 327442217. The next prime is 327442289. The reversal of 327442232 is 232244723.

327442232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3274422323 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 327442195 and 327442204.

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, 60968 + ... + 66120.

It is an arithmetic number, because the mean of its divisors is an integer number (14147730).

Almost surely, 2327442232 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 327442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339545520).

327442232 is an abundant number, since it is smaller than the sum of its proper divisors (351648808).

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

327442232 is a wasteful number, since it uses less digits than its factorization.

327442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5215 counting only the distinct ones).

The product of its digits is 16128, while the sum is 29.

The square root of 327442232 is about 18095.3649313851. The cubic root of 327442232 is about 689.2523105834.

Adding to 327442232 its reverse (232244723), we get a palindrome (559686955).

The spelling of 327442232 in words is "three hundred twenty-seven million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 47 52 94 104 169 188 338 376 611 676 1222 1352 2444 4888 5153 7943 10306 15886 20612 31772 41224 63544 66989 133978 242191 267956 484382 535912 870857 968764 1741714 1937528 3148483 3483428 6296966 6966856 12593932 25187864 40930279 81860558 163721116 327442232