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2304320004 = 2232789127809
BaseRepresentation
bin1000100101011001…
…0010001000000100
312221120222120210100
42021112102020010
514204401220004
61020353324100
7111050253060
oct21126221004
95846876710
102304320004
11a828017a8
12543866630
132a952857c
1417c074aa0
15d7476739
hex89592204

2304320004 has 144 divisors (see below), whose sum is σ = 6793113600. Its totient is φ = 645055488.

The previous prime is 2304319973. The next prime is 2304320023. The reversal of 2304320004 is 4000234032.

2304320004 is a `hidden beast` number, since 230 + 432 + 0 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2847952 + ... + 2848760.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 22304320004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304320004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

2304320004 is an abundant number, since it is smaller than the sum of its proper divisors (4488793596).

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

2304320004 is a wasteful number, since it uses less digits than its factorization.

2304320004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2304320004 is about 48003.3332592644. Note that the first 3 decimals coincide. The cubic root of 2304320004 is about 1320.8320442924.

Adding to 2304320004 its reverse (4000234032), we get a palindrome (6304554036).

It can be divided in two parts, 230 and 4320004, that added together give a palindrome (4320234).

The spelling of 2304320004 in words is "two billion, three hundred four million, three hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 127 178 252 254 267 356 381 508 534 623 762 801 809 889 1068 1143 1246 1524 1602 1618 1778 1869 2286 2427 2492 2667 3204 3236 3556 3738 4572 4854 5334 5607 5663 7281 7476 8001 9708 10668 11214 11303 11326 14562 16002 16989 22428 22606 22652 29124 32004 33909 33978 45212 50967 67818 67956 72001 79121 101727 101934 102743 135636 144002 158242 203454 203868 205486 216003 237363 288004 308229 316484 406908 410972 432006 474726 504007 616458 648009 712089 719201 864012 924687 949452 1008014 1232916 1296018 1424178 1438402 1512021 1849374 2016028 2157603 2592036 2848356 2876804 3024042 3698748 4315206 4536063 6048084 6472809 8630412 9072126 9144127 12945618 18144252 18288254 25891236 27432381 36576508 54864762 64008889 82297143 109729524 128017778 164594286 192026667 256035556 329188572 384053334 576080001 768106668 1152160002 2304320004