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2396834220 = 22351115723131
BaseRepresentation
bin1000111011011100…
…1100100110101100
320012001001210102210
42032313030212230
514402042143340
61033500250420
7113252516604
oct21667144654
96161053383
102396834220
11101aa50030
1256a840a10
132c274aa01
1418a477c04
15e064d180
hex8edcc9ac

2396834220 has 96 divisors (see below), whose sum is σ = 7368189696. Its totient is φ = 577324800.

The previous prime is 2396834213. The next prime is 2396834239. The reversal of 2396834220 is 224386932.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92055 + ... + 115185.

It is an arithmetic number, because the mean of its divisors is an integer number (76751976).

Almost surely, 22396834220 is an apocalyptic number.

2396834220 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 2396834220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684094848).

2396834220 is an abundant number, since it is smaller than the sum of its proper divisors (4971355476).

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

2396834220 is a wasteful number, since it uses less digits than its factorization.

2396834220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23311 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2396834220 is about 48957.4735867773. The cubic root of 2396834220 is about 1338.2769529541.

The spelling of 2396834220 in words is "two billion, three hundred ninety-six million, eight hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6908 8635 9420 10362 17270 20724 23131 25905 34540 46262 51810 69393 92524 103620 115655 138786 231310 254441 277572 346965 462620 508882 693930 763323 1017764 1272205 1387860 1526646 2544410 3053292 3631567 3816615 5088820 7263134 7633230 10894701 14526268 15266460 18157835 21789402 36315670 39947237 43578804 54473505 72631340 79894474 108947010 119841711 159788948 199736185 217894020 239683422 399472370 479366844 599208555 798944740 1198417110 2396834220