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2324102000 = 245311149709
BaseRepresentation
bin1000101010000110…
…1111101101110000
312222222012121120212
42022201233231300
514224432231000
61022341323252
7111410353403
oct21241575560
95888177525
102324102000
11a92993260
1254a406528
132b06636ac
14180943d3a
15d9082c35
hex8a86fb70

2324102000 has 160 divisors (see below), whose sum is σ = 6180408000. Its totient is φ = 838272000.

The previous prime is 2324101987. The next prime is 2324102003. The reversal of 2324102000 is 2014232.

2324102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3277646 + ... + 3278354.

It is an arithmetic number, because the mean of its divisors is an integer number (38627550).

Almost surely, 22324102000 is an apocalyptic number.

2324102000 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 2324102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090204000).

2324102000 is an abundant number, since it is smaller than the sum of its proper divisors (3856306000).

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

2324102000 is a wasteful number, since it uses less digits than its factorization.

2324102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2324102000 is about 48208.9410794305. The cubic root of 2324102000 is about 1324.6009478247.

Adding to 2324102000 its reverse (2014232), we get a palindrome (2326116232).

The spelling of 2324102000 in words is "two billion, three hundred twenty-four million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 149 176 200 220 250 275 298 400 440 500 550 596 709 745 880 1000 1100 1192 1375 1418 1490 1639 2000 2200 2384 2750 2836 2980 3278 3545 3725 4400 5500 5672 5960 6556 7090 7450 7799 8195 11000 11344 11920 13112 14180 14900 15598 16390 17725 18625 22000 26224 28360 29800 31196 32780 35450 37250 38995 40975 56720 59600 62392 65560 70900 74500 77990 81950 88625 105641 124784 131120 141800 149000 155980 163900 177250 194975 204875 211282 283600 298000 311960 327800 354500 389950 409750 422564 528205 623920 655600 709000 779900 819500 845128 974875 1056410 1162051 1418000 1559800 1639000 1690256 1949750 2112820 2324102 2641025 3119600 3278000 3899500 4225640 4648204 5282050 5810255 7799000 8451280 9296408 10564100 11620510 13205125 15598000 18592816 21128200 23241020 26410250 29051275 42256400 46482040 52820500 58102550 92964080 105641000 116205100 145256375 211282000 232410200 290512750 464820400 581025500 1162051000 2324102000