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240484140 = 223451319601
BaseRepresentation
bin11100101010101…
…11111100101100
3121202111212020000
432111113330230
5443030443030
635510224300
75650036641
oct1625277454
9552455200
10240484140
11113824326
1268655090
133aa90310
1423d1ddc8
15161a4860
hexe557f2c

240484140 has 240 divisors, whose sum is σ = 856621920. Its totient is φ = 55987200.

The previous prime is 240484133. The next prime is 240484151. The reversal of 240484140 is 41484042.

It is a happy number.

240484140 is a `hidden beast` number, since 2 + 40 + 484 + 140 = 666.

240484140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 399840 + ... + 400440.

It is an arithmetic number, because the mean of its divisors is an integer number (3569258).

Almost surely, 2240484140 is an apocalyptic number.

240484140 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 240484140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428310960).

240484140 is an abundant number, since it is smaller than the sum of its proper divisors (616137780).

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

240484140 is a wasteful number, since it uses less digits than its factorization.

240484140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 240484140 is about 15507.5510639172. The cubic root of 240484140 is about 621.8640915067.

The spelling of 240484140 in words is "two hundred forty million, four hundred eighty-four thousand, one hundred forty".