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240242320 = 2453003029
BaseRepresentation
bin11100101000111…
…00111010010000
3121202001120111201
432110130322100
5443000223240
635501120544
75645011633
oct1624347220
9552046451
10240242320
1111367967a
1268559154
133aa07226
1423c99c1a
1516157d9a
hexe51ce90

240242320 has 20 divisors (see below), whose sum is σ = 558563580. Its totient is φ = 96096896.

The previous prime is 240242309. The next prime is 240242323. The reversal of 240242320 is 23242042.

It can be written as a sum of positive squares in 2 ways, for example, as 112190464 + 128051856 = 10592^2 + 11316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (240242323) 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 3 ways as a sum of consecutive naturals, for example, 1501435 + ... + 1501594.

It is an arithmetic number, because the mean of its divisors is an integer number (27928179).

Almost surely, 2240242320 is an apocalyptic number.

240242320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240242320 is an abundant number, since it is smaller than the sum of its proper divisors (318321260).

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

240242320 is a wasteful number, since it uses less digits than its factorization.

240242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003042 (or 3003036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 240242320 is about 15499.7522560846. The cubic root of 240242320 is about 621.6555821117.

Adding to 240242320 its reverse (23242042), we get a palindrome (263484362).

The spelling of 240242320 in words is "two hundred forty million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3003029 6006058 12012116 15015145 24024232 30030290 48048464 60060580 120121160 240242320