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2321040330 = 2325722811873
BaseRepresentation
bin1000101001011000…
…0100001111001010
312222202110001202200
42022112010033022
514223141242310
61022151541030
7111342342300
oct21226041712
95882401680
102321040330
11a91191a54
1254938a776
132acb30c5b
14180388270
15d8b7a9c0
hex8a5843ca

2321040330 has 144 divisors (see below), whose sum is σ = 7048706184. Its totient is φ = 528353280.

The previous prime is 2321040307. The next prime is 2321040341. The reversal of 2321040330 is 330401232.

2321040330 is a `hidden beast` number, since 23 + 210 + 403 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1392558489 + 928481841 = 37317^2 + 30471^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 1238274 + ... + 1240146.

Almost surely, 22321040330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321040330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524353092).

2321040330 is an abundant number, since it is smaller than the sum of its proper divisors (4727665854).

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

2321040330 is a wasteful number, since it uses less digits than its factorization.

2321040330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2321040330 is about 48177.1764427929. The cubic root of 2321040330 is about 1324.0190351647.

Adding to 2321040330 its reverse (330401232), we get a palindrome (2651441562).

The spelling of 2321040330 in words is "two billion, three hundred twenty-one million, forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 281 294 315 441 490 562 630 735 843 882 1405 1470 1686 1873 1967 2205 2529 2810 3746 3934 4215 4410 5058 5619 5901 8430 9365 9835 11238 11802 12645 13111 13769 16857 17703 18730 19670 25290 26222 27538 28095 29505 33714 35406 39333 41307 56190 59010 65555 68845 78666 82614 84285 88515 91777 117999 123921 131110 137690 168570 177030 183554 196665 206535 235998 247842 275331 393330 413070 458885 526313 550662 589995 619605 825993 917770 1052626 1179990 1239210 1376655 1578939 1651986 2631565 2753310 3157878 3684191 4129965 4736817 5263130 7368382 7894695 8259930 9473634 11052573 15789390 18420955 22105146 23684085 25789337 33157719 36841910 47368170 51578674 55262865 66315438 77368011 110525730 128946685 154736022 165788595 232104033 257893370 331577190 386840055 464208066 773680110 1160520165 2321040330