Search a number
-
+
327832638 = 23724127197
BaseRepresentation
bin10011100010100…
…101010000111110
3211211212121211120
4103202211100332
51132411121023
652310331410
711060350200
oct2342452076
9754777746
10327832638
11159064571
1291959b66
1352bc4413
143177a770
151dbaa8e3
hex138a543e

327832638 has 48 divisors (see below), whose sum is σ = 781344144. Its totient is φ = 91378560.

The previous prime is 327832633. The next prime is 327832649. The reversal of 327832638 is 836238723.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 327832638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327832633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545 + ... + 25652.

It is an arithmetic number, because the mean of its divisors is an integer number (16278003).

Almost surely, 2327832638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327832638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390672072).

327832638 is an abundant number, since it is smaller than the sum of its proper divisors (453511506).

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

327832638 is a wasteful number, since it uses less digits than its factorization.

327832638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27257 (or 27250 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 327832638 is about 18106.1491764538. The cubic root of 327832638 is about 689.5261312642.

The spelling of 327832638 in words is "three hundred twenty-seven million, eight hundred thirty-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054 27197 54394 81591 163182 190379 380758 571137 1115077 1142274 1332653 2230154 2665306 3345231 3997959 6690462 7805539 7995918 15611078 23416617 46833234 54638773 109277546 163916319 327832638