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243640881 = 32114432
BaseRepresentation
bin11101000010110…
…10101000110001
3121222110020110100
432201122220301
5444333002011
640102023013
76015625161
oct1641325061
9558406410
10243640881
11115590000
1269717a69
133b627103
14245025a1
15165c9d56
hexe85aa31

243640881 has 45 divisors (see below), whose sum is σ = 396327945. Its totient is φ = 144227160.

The previous prime is 243640879. The next prime is 243640949. The reversal of 243640881 is 188046342.

The square root of 243640881 is 15609.

It is a perfect power (a square), and thus also a powerful number.

243640881 is a `hidden beast` number, since 2 + 4 + 3 + 640 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 243640881 - 21 = 243640879 is a prime.

It is a super-2 number, since 2×2436408812 = 118721757788912322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243640801) 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 44 ways as a sum of consecutive naturals, for example, 5666046 + ... + 5666088.

Almost surely, 2243640881 is an apocalyptic number.

243640881 is the 15609-th square number.

243640881 is the 7805-th centered octagonal number.

It is an amenable number.

243640881 is a deficient number, since it is larger than the sum of its proper divisors (152687064).

243640881 is an frugal number, since it uses more digits than its factorization.

243640881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 243640881 is about 624.5732604824.

Multiplying 243640881 by its sum of digits (36), we get a square (8771071716 = 936542).

Multiplying 243640881 by its product of nonzero digits (36864), we get a square (8981577437184 = 29969282).

The spelling of 243640881 in words is "two hundred forty-three million, six hundred forty thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 33 43 99 121 129 363 387 473 1089 1331 1419 1849 3993 4257 5203 5547 11979 14641 15609 16641 20339 43923 46827 57233 61017 131769 171699 183051 223729 515097 629563 671187 1888689 2013561 2461019 5666067 7383057 22149171 27071209 81213627 243640881