Search a number
-
+
2321015340 = 2235726711783
BaseRepresentation
bin1000101001010111…
…1110001000101100
312222202101210111010
42022111332020230
514223134442330
61022151225220
7111342206400
oct21225761054
95882353433
102321015340
11a911751a6
12549378210
132acb22777
1418037d100
15d8b733b0
hex8a57e22c

2321015340 has 144 divisors (see below), whose sum is σ = 7673363712. Its totient is φ = 522555264.

The previous prime is 2321015317. The next prime is 2321015351. The reversal of 2321015340 is 435101232.

It is a super-2 number, since 2×23210153402 = 10774224417030631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 191089 + ... + 202871.

It is an arithmetic number, because the mean of its divisors is an integer number (53287248).

Almost surely, 22321015340 is an apocalyptic number.

2321015340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321015340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836681856).

2321015340 is an abundant number, since it is smaller than the sum of its proper divisors (5352348372).

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

2321015340 is a wasteful number, since it uses less digits than its factorization.

2321015340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2321015340 is about 48176.9170869204. The cubic root of 2321015340 is about 1324.0142833653.

Adding to 2321015340 its reverse (435101232), we get a palindrome (2756116572).

The spelling of 2321015340 in words is "two billion, three hundred twenty-one million, fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 105 134 140 147 196 201 210 245 268 294 335 402 420 469 490 588 670 735 804 938 980 1005 1340 1407 1470 1876 2010 2345 2814 2940 3283 4020 4690 5628 6566 7035 9380 9849 11783 13132 14070 16415 19698 23566 28140 32830 35349 39396 47132 49245 58915 65660 70698 82481 98490 117830 141396 164962 176745 196980 235660 247443 329924 353490 412405 494886 577367 706980 789461 824810 989772 1154734 1237215 1578922 1649620 1732101 2309468 2368383 2474430 2886835 3157844 3464202 3947305 4736766 4948860 5526227 5773670 6928404 7894610 8660505 9473532 11052454 11547340 11841915 15789220 16578681 17321010 22104908 23683830 27631135 33157362 34642020 38683589 47367660 55262270 66314724 77367178 82893405 110524540 116050767 154734356 165786810 193417945 232101534 331573620 386835890 464203068 580253835 773671780 1160507670 2321015340