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2364163340 = 2257112672083
BaseRepresentation
bin1000110011101010…
…0100010100001100
320002202120221102012
42030322210110030
514320211211330
61030332120352
7112405025330
oct21472442414
96082527365
102364163340
111003565a00
1255b9060b8
132b8a4c126
14185db17c0
15dc847c95
hex8cea450c

2364163340 has 144 divisors (see below), whose sum is σ = 6332825856. Its totient is φ = 725535360.

The previous prime is 2364163339. The next prime is 2364163363. The reversal of 2364163340 is 433614632.

It is a junction number, because it is equal to n+sod(n) for n = 2364163297 and 2364163306.

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 47 ways as a sum of consecutive naturals, for example, 1133939 + ... + 1136021.

Almost surely, 22364163340 is an apocalyptic number.

2364163340 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 2364163340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166412928).

2364163340 is an abundant number, since it is smaller than the sum of its proper divisors (3968662516).

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

2364163340 is a wasteful number, since it uses less digits than its factorization.

2364163340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 2364163340 is about 48622.6628230088. The cubic root of 2364163340 is about 1332.1684978039.

Adding to 2364163340 its reverse (433614632), we get a palindrome (2797777972).

The spelling of 2364163340 in words is "two billion, three hundred sixty-four million, one hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 67 70 77 110 121 134 140 154 220 242 268 308 335 385 469 484 605 670 737 770 847 938 1210 1340 1474 1540 1694 1876 2083 2345 2420 2948 3388 3685 4166 4235 4690 5159 7370 8107 8332 8470 9380 10318 10415 14581 14740 16214 16940 20636 20830 22913 25795 29162 32428 40535 41660 45826 51590 56749 58324 72905 81070 91652 103180 113498 114565 139561 145810 160391 162140 226996 229130 252043 279122 283745 291620 320782 458260 504086 558244 567490 641564 697805 801955 976927 1008172 1134980 1260215 1395610 1535171 1603910 1764301 1953854 2520430 2791220 3070342 3207820 3528602 3907708 4884635 5040860 6140684 7057204 7675855 8821505 9769270 10746197 15351710 16886881 17643010 19538540 21492394 30703420 33773762 35286020 42984788 53730985 67547524 84434405 107461970 118208167 168868810 214923940 236416334 337737620 472832668 591040835 1182081670 2364163340