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2420316330 = 2351911293761
BaseRepresentation
bin1001000001000011…
…0001100010101010
320020200020210211120
42100100301202222
514424100110310
61040055440110
7113656230555
oct22020614252
96220223746
102420316330
111032229533
12576686036
132c7580053
1418d62b69c
15e273ab70
hex904318aa

2420316330 has 64 divisors (see below), whose sum is σ = 6121526400. Its totient is φ = 610744320.

The previous prime is 2420316323. The next prime is 2420316331. The reversal of 2420316330 is 336130242.

It is a super-2 number, since 2×24203163302 = 11715862274529337800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2420316330.

It is not an unprimeable number, because it can be changed into a prime (2420316331) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 641650 + ... + 645410.

It is an arithmetic number, because the mean of its divisors is an integer number (95648850).

Almost surely, 22420316330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420316330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060763200).

2420316330 is an abundant number, since it is smaller than the sum of its proper divisors (3701210070).

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

2420316330 is a wasteful number, since it uses less digits than its factorization.

2420316330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2420316330 is about 49196.7105607682. The cubic root of 2420316330 is about 1342.6331845300.

Adding to 2420316330 its reverse (336130242), we get a palindrome (2756446572).

The spelling of 2420316330 in words is "two billion, four hundred twenty million, three hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1129 2258 3387 3761 5645 6774 7522 11283 11290 16935 18805 21451 22566 33870 37610 42902 56415 64353 71459 107255 112830 128706 142918 214377 214510 321765 357295 428754 643530 714590 1071885 2143770 4246169 8492338 12738507 21230845 25477014 42461690 63692535 80677211 127385070 161354422 242031633 403386055 484063266 806772110 1210158165 2420316330