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240648064 = 273495387
BaseRepresentation
bin11100101011111…
…11111110000000
3121202211012002021
432111333332000
5443101214224
635513531224
75651321566
oct1625777600
9552735067
10240648064
111139264a8
1268713b14
133ab19b07
1423d63a36
15161d81e4
hexe57ff80

240648064 has 32 divisors (see below), whose sum is σ = 480879000. Its totient is φ = 119956992.

The previous prime is 240648049. The next prime is 240648097. The reversal of 240648064 is 460846042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2406480642 = 115822981413896192, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 41979 + ... + 47365.

Almost surely, 2240648064 is an apocalyptic number.

It is an amenable number.

240648064 is a deficient number, since it is larger than the sum of its proper divisors (240230936).

240648064 is an equidigital number, since it uses as much as digits as its factorization.

240648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 240648064 is about 15512.8354597088. The cubic root of 240648064 is about 622.0053555644.

The spelling of 240648064 in words is "two hundred forty million, six hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 349 698 1396 2792 5387 5584 10774 11168 21548 22336 43096 44672 86192 172384 344768 689536 1880063 3760126 7520252 15040504 30081008 60162016 120324032 240648064