Search a number
-
+
240327360 = 263257213131
BaseRepresentation
bin11100101001100…
…01101011000000
3121202012220011100
432110301223000
5443010433420
635503014400
75645514600
oct1624615300
9552186140
10240327360
11113727559
126859a400
133aa36b50
1423cbcc00
1516173190
hexe531ac0

240327360 has 504 divisors, whose sum is σ = 1043458416. Its totient is φ = 50319360.

The previous prime is 240327349. The next prime is 240327361. The reversal of 240327360 is 63723042.

240327360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240327361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834495 + ... + 1834625.

It is an arithmetic number, because the mean of its divisors is an integer number (2070354).

Almost surely, 2240327360 is an apocalyptic number.

240327360 is a gapful number since it is divisible by the number (20) 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 240327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521729208).

240327360 is an abundant number, since it is smaller than the sum of its proper divisors (803131056).

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

240327360 is a wasteful number, since it uses less digits than its factorization.

240327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 240327360 is about 15502.4952830182. The cubic root of 240327360 is about 621.7289238307.

The spelling of 240327360 in words is "two hundred forty million, three hundred twenty-seven thousand, three hundred sixty".