Search a number
-
+
327050496 = 28321931241
BaseRepresentation
bin10011011111100…
…110010100000000
3211210101212221100
4103133212110000
51132211103441
652241454400
711050611663
oct2337462400
9753355840
10327050496
1115867a973
1291641400
13529ac406
14316156da
151daa3cb6
hex137e6500

327050496 has 216 divisors, whose sum is σ = 1028867840. Its totient is φ = 99532800.

The previous prime is 327050491. The next prime is 327050513. The reversal of 327050496 is 694050723.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 327050496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327050491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356936 + ... + 1357176.

Almost surely, 2327050496 is an apocalyptic number.

327050496 is a gapful number since it is divisible by the number (36) 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 327050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514433920).

327050496 is an abundant number, since it is smaller than the sum of its proper divisors (701817344).

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

327050496 is a wasteful number, since it uses less digits than its factorization.

327050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 327050496 is about 18084.5374837180. The cubic root of 327050496 is about 688.9773382250.

The spelling of 327050496 in words is "three hundred twenty-seven million, fifty thousand, four hundred ninety-six".