Search a number
-
+
327671872 = 261121719131
BaseRepresentation
bin10011100001111…
…110000001000000
3211211120110022021
4103201332001000
51132340444442
652303051224
711056110403
oct2341760100
9754513267
10327671872
11158a64800
12918a0b14
1352b691a8
1431737d3a
151db77e67
hex1387e040

327671872 has 168 divisors, whose sum is σ = 802660320. Its totient is φ = 131788800.

The previous prime is 327671857. The next prime is 327671881. The reversal of 327671872 is 278176723.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2501247 + ... + 2501377.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2327671872 is an apocalyptic number.

327671872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401330160).

327671872 is an abundant number, since it is smaller than the sum of its proper divisors (474988448).

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

327671872 is a wasteful number, since it uses less digits than its factorization.

327671872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 197568, while the sum is 43.

The square root of 327671872 is about 18101.7090905804. The cubic root of 327671872 is about 689.4134004880.

The spelling of 327671872 in words is "three hundred twenty-seven million, six hundred seventy-one thousand, eight hundred seventy-two".