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2324120000 = 265497599
BaseRepresentation
bin1000101010000111…
…0100000111000000
312222222020112021112
42022201310013000
514224433320000
61022341542452
7111410460026
oct21241640700
95888215245
102324120000
11a929a5834
1254a414a28
132b066b947
1418094a716
15d9088235
hex8a8741c0

2324120000 has 140 divisors (see below), whose sum is σ = 5832195600. Its totient is φ = 918528000.

The previous prime is 2324119999. The next prime is 2324120011. The reversal of 2324120000 is 214232.

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 19 ways as a sum of consecutive naturals, for example, 3879701 + ... + 3880299.

It is an arithmetic number, because the mean of its divisors is an integer number (41658540).

Almost surely, 22324120000 is an apocalyptic number.

2324120000 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 2324120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916097800).

2324120000 is an abundant number, since it is smaller than the sum of its proper divisors (3508075600).

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

2324120000 is an frugal number, since it uses more digits than its factorization.

2324120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 703 counting only the distinct ones).

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

The square root of 2324120000 is about 48209.1277664303. The cubic root of 2324120000 is about 1324.6043674617.

Adding to 2324120000 its reverse (214232), we get a palindrome (2324334232).

The spelling of 2324120000 in words is "two billion, three hundred twenty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 160 194 200 250 320 388 400 485 500 599 625 776 800 970 1000 1198 1250 1552 1600 1940 2000 2396 2425 2500 2995 3104 3880 4000 4792 4850 5000 5990 6208 7760 8000 9584 9700 10000 11980 12125 14975 15520 19168 19400 20000 23960 24250 29950 31040 38336 38800 40000 47920 48500 58103 59900 60625 74875 77600 95840 97000 116206 119800 121250 149750 155200 191680 194000 232412 239600 242500 290515 299500 374375 388000 464824 479200 485000 581030 599000 748750 776000 929648 958400 970000 1162060 1198000 1452575 1497500 1859296 1940000 2324120 2396000 2905150 2995000 3718592 3880000 4648240 4792000 5810300 5990000 7262875 9296480 11620600 11980000 14525750 18592960 23241200 23960000 29051500 36314375 46482400 58103000 72628750 92964800 116206000 145257500 232412000 290515000 464824000 581030000 1162060000 2324120000