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243813864 = 23371785369
BaseRepresentation
bin11101000100001…
…00110111101000
3121222210000202010
432202010313220
5444404020424
640105435520
76020245410
oct1642046750
9558700663
10243813864
11115698a68
126979bba0
133b687a78
1424549640
1516611229
hexe884de8

243813864 has 64 divisors (see below), whose sum is σ = 737596800. Its totient is φ = 65562624.

The previous prime is 243813859. The next prime is 243813877. The reversal of 243813864 is 468318342.

It is a happy number.

It is a super-2 number, since 2×2438138642 = 118890400557220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 39829 + ... + 45540.

It is an arithmetic number, because the mean of its divisors is an integer number (11524950).

Almost surely, 2243813864 is an apocalyptic number.

243813864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243813864 is an abundant number, since it is smaller than the sum of its proper divisors (493782936).

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

243813864 is a wasteful number, since it uses less digits than its factorization.

243813864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85402 (or 85398 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 243813864 is about 15614.5401469272. The cubic root of 243813864 is about 624.7210394548.

The spelling of 243813864 in words is "two hundred forty-three million, eight hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 85369 170738 256107 341476 512214 597583 682952 1024428 1195166 1451273 1792749 2048856 2390332 2902546 3585498 4353819 4780664 5805092 7170996 8707638 10158911 11610184 14341992 17415276 20317822 30476733 34830552 40635644 60953466 81271288 121906932 243813864