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2321303232 = 263411312251
BaseRepresentation
bin1000101001011100…
…0100011011000000
312222202221102101210
42022113010123000
514223223200412
61022201330120
7111344515623
oct21227043300
95882842353
102321303232
11a91351526
12549496940
132acbc3811
14180415dba
15d8bcd83c
hex8a5c46c0

2321303232 has 112 divisors (see below), whose sum is σ = 6342424704. Its totient is φ = 748800000.

The previous prime is 2321303227. The next prime is 2321303263. The reversal of 2321303232 is 2323031232.

It is a junction number, because it is equal to n+sod(n) for n = 2321303199 and 2321303208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030107 + ... + 1032357.

It is an arithmetic number, because the mean of its divisors is an integer number (56628792).

Almost surely, 22321303232 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 2321303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171212352).

2321303232 is an abundant number, since it is smaller than the sum of its proper divisors (4021121472).

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

2321303232 is a wasteful number, since it uses less digits than its factorization.

2321303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2321303232 is about 48179.9048566931. The cubic root of 2321303232 is about 1324.0690233972.

Adding to 2321303232 its reverse (2323031232), we get a palindrome (4644334464).

Subtracting 2321303232 from its reverse (2323031232), we obtain a cube (1728000 = 1203).

The spelling of 2321303232 in words is "two billion, three hundred twenty-one million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 131 164 192 246 262 328 393 492 524 656 786 984 1048 1312 1572 1968 2096 2251 2624 3144 3936 4192 4502 5371 6288 6753 7872 8384 9004 10742 12576 13506 16113 18008 21484 25152 27012 32226 36016 42968 54024 64452 72032 85936 92291 108048 128904 144064 171872 184582 216096 257808 276873 294881 343744 369164 432192 515616 553746 589762 738328 884643 1031232 1107492 1179524 1476656 1769286 2214984 2359048 2953312 3538572 4429968 4718096 5906624 7077144 8859936 9436192 12090121 14154288 17719872 18872384 24180242 28308576 36270363 48360484 56617152 72540726 96720968 145081452 193441936 290162904 386883872 580325808 773767744 1160651616 2321303232