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2316402720 = 253257732081
BaseRepresentation
bin1000101000010001…
…1000000000100000
312222102201110011100
42022010120000200
514220444341340
61021504314400
7111255045462
oct21204300040
95872643140
102316402720
11a89604715
12547912a00
132abb990c8
1417d8dc132
15d8561830
hex8a118020

2316402720 has 144 divisors (see below), whose sum is σ = 7918753752. Its totient is φ = 616611840.

The previous prime is 2316402701. The next prime is 2316402731. The reversal of 2316402720 is 272046132.

2316402720 is a `hidden beast` number, since 231 + 6 + 402 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1147583376 + 1168819344 = 33876^2 + 34188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23164027202 = 10731443122446796800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1112080 + ... + 1114160.

Almost surely, 22316402720 is an apocalyptic number.

2316402720 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 2316402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959376876).

2316402720 is an abundant number, since it is smaller than the sum of its proper divisors (5602351032).

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

2316402720 is a wasteful number, since it uses less digits than its factorization.

2316402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2316402720 is about 48129.0215982000. The cubic root of 2316402720 is about 1323.1366179193.

Adding to 2316402720 its reverse (272046132), we get a palindrome (2588448852).

The spelling of 2316402720 in words is "two billion, three hundred sixteen million, four hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 773 1440 1546 2081 2319 3092 3865 4162 4638 6184 6243 6957 7730 8324 9276 10405 11595 12368 12486 13914 15460 16648 18552 18729 20810 23190 24736 24972 27828 30920 31215 33296 34785 37104 37458 41620 46380 49944 55656 61840 62430 66592 69570 74208 74916 83240 92760 93645 99888 111312 123680 124860 139140 149832 166480 185520 187290 199776 222624 249720 278280 299664 332960 371040 374580 499440 556560 599328 749160 998880 1113120 1498320 1608613 2996640 3217226 4825839 6434452 8043065 9651678 12868904 14477517 16086130 19303356 24129195 25737808 28955034 32172260 38606712 48258390 51475616 57910068 64344520 72387585 77213424 96516780 115820136 128689040 144775170 154426848 193033560 231640272 257378080 289550340 386067120 463280544 579100680 772134240 1158201360 2316402720