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240441696 = 253611937
BaseRepresentation
bin11100101010011…
…01100101100000
3121202102201000000
432111031211200
5443023113241
635505300000
75646502125
oct1625154540
9552381000
10240441696
111137a5450
1268634600
133aa76bc1
1423d0c74c
1516196eb6
hexe54d960

240441696 has 168 divisors, whose sum is σ = 775076904. Its totient is φ = 72783360.

The previous prime is 240441689. The next prime is 240441709. The reversal of 240441696 is 696144042.

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 240441696.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 256140 + ... + 257076.

It is an arithmetic number, because the mean of its divisors is an integer number (4613553).

Almost surely, 2240441696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240441696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387538452).

240441696 is an abundant number, since it is smaller than the sum of its proper divisors (534635208).

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

240441696 is an equidigital number, since it uses as much as digits as its factorization.

240441696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 240441696 is about 15506.1825089220. The cubic root of 240441696 is about 621.8275042672.

It can be divided in two parts, 2404 and 41696, that added together give a square (44100 = 2102).

The spelling of 240441696 in words is "two hundred forty million, four hundred forty-one thousand, six hundred ninety-six".