Search a number
-
+
2324045640 = 233574167481
BaseRepresentation
bin1000101010000110…
…0001111101001000
312222222002202021110
42022201201331020
514224423430030
61022340210320
7111410030160
oct21241417510
95888082243
102324045640
11a92954984
1254a3999a0
132b0643b47
1418092b5a0
15d90711b0
hex8a861f48

2324045640 has 128 divisors (see below), whose sum is σ = 8162622720. Its totient is φ = 518246400.

The previous prime is 2324045617. The next prime is 2324045657. The reversal of 2324045640 is 465404232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2324045598 and 2324045607.

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 31 ways as a sum of consecutive naturals, for example, 700 + ... + 68180.

It is an arithmetic number, because the mean of its divisors is an integer number (63770490).

Almost surely, 22324045640 is an apocalyptic number.

2324045640 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 2324045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081311360).

2324045640 is an abundant number, since it is smaller than the sum of its proper divisors (5838577080).

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

2324045640 is a wasteful number, since it uses less digits than its factorization.

2324045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67543 (or 67539 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2324045640 is about 48208.3565370154. The cubic root of 2324045640 is about 1324.5902404471.

Adding to 2324045640 its reverse (465404232), we get a palindrome (2789449872).

The spelling of 2324045640 in words is "two billion, three hundred twenty-four million, forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 67481 134962 202443 269924 337405 404886 472367 539848 674810 809772 944734 1012215 1349620 1417101 1619544 1889468 2024430 2361835 2699240 2766721 2834202 3778936 4048860 4723670 5533442 5668404 7085505 8097720 8300163 9447340 11066884 11336808 13833605 14171010 16600326 18894680 19367047 22133768 27667210 28342020 33200652 38734094 41500815 55334420 56684040 58101141 66401304 77468188 83001630 96835235 110668840 116202282 154936376 166003260 193670470 232404564 290505705 332006520 387340940 464809128 581011410 774681880 1162022820 2324045640