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240324264 = 23323337837
BaseRepresentation
bin11100101001100…
…00111010101000
3121202012201220200
432110300322220
5443010334024
635502552200
75645502555
oct1624607250
9552181820
10240324264
111137251a4
1268598660
133aa3560b
1423cbba2c
15161722c9
hexe530ea8

240324264 has 24 divisors (see below), whose sum is σ = 650878410. Its totient is φ = 80108064.

The previous prime is 240324239. The next prime is 240324269. The reversal of 240324264 is 462423042.

It can be written as a sum of positive squares in only one way, i.e., 226261764 + 14062500 = 15042^2 + 3750^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (240324269) 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 5 ways as a sum of consecutive naturals, for example, 1668847 + ... + 1668990.

Almost surely, 2240324264 is an apocalyptic number.

240324264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240324264 is an abundant number, since it is smaller than the sum of its proper divisors (410554146).

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

240324264 is a wasteful number, since it uses less digits than its factorization.

240324264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337849 (or 3337842 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 240324264 is about 15502.3954278041. The cubic root of 240324264 is about 621.7262540265.

The spelling of 240324264 in words is "two hundred forty million, three hundred twenty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3337837 6675674 10013511 13351348 20027022 26702696 30040533 40054044 60081066 80108088 120162132 240324264