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2304864081 = 3213212312
BaseRepresentation
bin1000100101100001…
…0110111101010001
312221122000020010100
42021120112331101
514210021122311
61020413123013
7111055010232
oct21130267521
95848006110
102304864081
11a83043553
12543a89469
132a9689100
1417c177089
15d7532a56
hex89616f51

2304864081 has 27 divisors (see below), whose sum is σ = 3607974747. Its totient is φ = 1417225680.

The previous prime is 2304864073. The next prime is 2304864083. The reversal of 2304864081 is 1804684032.

The square root of 2304864081 is 48009.

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

2304864081 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 8 + 640 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 340956225 + 1963907856 = 18465^2 + 44316^2 .

It is not a de Polignac number, because 2304864081 - 23 = 2304864073 is a prime.

It is a super-2 number, since 2×23048640812 = 10624796863767949122, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2304864083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1871736 + ... + 1872966.

Almost surely, 22304864081 is an apocalyptic number.

2304864081 is the 48009-th square number.

2304864081 is the 24005-th centered octagonal number.

It is an amenable number.

2304864081 is a deficient number, since it is larger than the sum of its proper divisors (1303110666).

2304864081 is an equidigital number, since it uses as much as digits as its factorization.

2304864081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 1247 counting only the distinct ones).

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

The cubic root of 2304864081 is about 1320.9359907615.

Multiplying 2304864081 by its sum of digits (36), we get a square (82975106916 = 2880542).

Multiplying 2304864081 by its product of nonzero digits (36864), we get a square (84966509481984 = 92177282).

The spelling of 2304864081 in words is "two billion, three hundred four million, eight hundred sixty-four thousand, eighty-one".

Divisors: 1 3 9 13 39 117 169 507 1231 1521 3693 11079 16003 48009 144027 208039 624117 1515361 1872351 4546083 13638249 19699693 59099079 177297237 256096009 768288027 2304864081