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2423040360 = 2335131981749
BaseRepresentation
bin1001000001101100…
…1010100101101000
320020212101012111120
42100123022211220
514430244242420
61040234055240
7114021334416
oct22033124550
96225335446
102423040360
11103381a0a4
1257757a520
132c7cc4bc0
1418db3a2b6
15e2ac7d40
hex906ca968

2423040360 has 128 divisors (see below), whose sum is σ = 8240400000. Its totient is φ = 565042176.

The previous prime is 2423040337. The next prime is 2423040371. The reversal of 2423040360 is 630403242.

It is a happy number.

It is a super-2 number, since 2×24230403602 = 11742249172377859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2423040360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11235 + ... + 70514.

It is an arithmetic number, because the mean of its divisors is an integer number (64378125).

Almost surely, 22423040360 is an apocalyptic number.

2423040360 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 2423040360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120200000).

2423040360 is an abundant number, since it is smaller than the sum of its proper divisors (5817359640).

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

2423040360 is a wasteful number, since it uses less digits than its factorization.

2423040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81795 (or 81791 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2423040360 is about 49224.3878580526. The cubic root of 2423040360 is about 1343.1367002315.

The spelling of 2423040360 in words is "two billion, four hundred twenty-three million, forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 81749 163498 245247 326996 408745 490494 653992 817490 980988 1062737 1226235 1553231 1634980 1961976 2125474 2452470 3106462 3188211 3269960 4250948 4659693 4904940 5313685 6212924 6376422 7766155 8501896 9319386 9809880 10627370 12425848 12752844 15532310 15941055 18638772 20192003 21254740 23298465 25505688 31064620 31882110 37277544 40384006 42509480 46596930 60576009 62129240 63764220 80768012 93193860 100960015 121152018 127528440 161536024 186387720 201920030 242304036 302880045 403840060 484608072 605760090 807680120 1211520180 2423040360