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243047680 = 285189881
BaseRepresentation
bin11100111110010…
…01110100000000
3121221100002201221
432133021310000
5444210011210
640041204424
76010604551
oct1637116400
9557302657
10243047680
11115215357
1269490714
133b47a0c5
14243ca328
151650e1da
hexe7c9d00

243047680 has 36 divisors (see below), whose sum is σ = 582178212. Its totient is φ = 97218560.

The previous prime is 243047641. The next prime is 243047689. The reversal of 243047680 is 86740342.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 149035264 = 9696^2 + 12208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243047689) 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, 93661 + ... + 96220.

It is an arithmetic number, because the mean of its divisors is an integer number (16171617).

Almost surely, 2243047680 is an apocalyptic number.

243047680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243047680 is an abundant number, since it is smaller than the sum of its proper divisors (339130532).

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

243047680 is an equidigital number, since it uses as much as digits as its factorization.

243047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189902 (or 189888 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 243047680 is about 15589.9865298210. The cubic root of 243047680 is about 624.0659584014.

The spelling of 243047680 in words is "two hundred forty-three million, forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 189881 379762 759524 949405 1519048 1898810 3038096 3797620 6076192 7595240 12152384 15190480 24304768 30380960 48609536 60761920 121523840 243047680