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2324468320 = 25523229947
BaseRepresentation
bin1000101010001100…
…1001001001100000
312222222220020002021
42022203021021200
514230030441240
61022353231224
7111413440366
oct21243111140
95888806067
102324468320
11a931134a9
1254a562514
132b0761355
141809db636
15d910654a
hex8a8c9260

2324468320 has 144 divisors (see below), whose sum is σ = 5944926960. Its totient is φ = 857787392.

The previous prime is 2324468239. The next prime is 2324468339. The reversal of 2324468320 is 238644232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454087 + ... + 2455033.

It is an arithmetic number, because the mean of its divisors is an integer number (41284215).

Almost surely, 22324468320 is an apocalyptic number.

2324468320 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 2324468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972463480).

2324468320 is an abundant number, since it is smaller than the sum of its proper divisors (3620458640).

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

2324468320 is a wasteful number, since it uses less digits than its factorization.

2324468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2324468320 is about 48212.7402249654. The cubic root of 2324468320 is about 1324.6705377606.

The spelling of 2324468320 in words is "two billion, three hundred twenty-four million, four hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 80 92 115 116 145 160 184 230 232 290 368 460 464 529 580 667 736 920 928 947 1058 1160 1334 1840 1894 2116 2320 2645 2668 3335 3680 3788 4232 4640 4735 5290 5336 6670 7576 8464 9470 10580 10672 13340 15152 15341 16928 18940 21160 21344 21781 26680 27463 30304 30682 37880 42320 43562 53360 54926 61364 75760 76705 84640 87124 106720 108905 109852 122728 137315 151520 153410 174248 217810 219704 245456 274630 306820 348496 435620 439408 490912 500963 549260 613640 631649 696992 871240 878816 1001926 1098520 1227280 1263298 1742480 2003852 2197040 2454560 2504815 2526596 3158245 3484960 4007704 4394080 5009630 5053192 6316490 8015408 10019260 10106384 12632980 14527927 16030816 20038520 20212768 25265960 29055854 40077040 50531920 58111708 72639635 80154080 101063840 116223416 145279270 232446832 290558540 464893664 581117080 1162234160 2324468320