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2318834664 = 233229971072
BaseRepresentation
bin1000101000110110…
…1001101111101000
312222121022000011100
42022031221233220
514222110202124
61022032401400
7111314524626
oct21215515750
95877260140
102318834664
11a8aa15893
125486a6260
132ac53b023
1417dd72516
15d88921c9
hex8a369be8

2318834664 has 144 divisors (see below), whose sum is σ = 6625628100. Its totient is φ = 731695104.

The previous prime is 2318834657. The next prime is 2318834669. The reversal of 2318834664 is 4664388132.

2318834664 is a `hidden beast` number, since 2 + 3 + 188 + 3 + 466 + 4 = 666.

2318834664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2318422500 + 412164 = 48150^2 + 642^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2318834669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21671299 + ... + 21671405.

Almost surely, 22318834664 is an apocalyptic number.

2318834664 is a gapful number since it is divisible by the number (24) 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 2318834664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312814050).

2318834664 is an abundant number, since it is smaller than the sum of its proper divisors (4306793436).

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

2318834664 is a wasteful number, since it uses less digits than its factorization.

2318834664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 238 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2318834664 is about 48154.2798097947. The cubic root of 2318834664 is about 1323.5995006885.

The spelling of 2318834664 in words is "two billion, three hundred eighteen million, eight hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 97 107 116 174 194 214 232 261 291 321 348 388 428 522 582 642 696 776 856 873 963 1044 1164 1284 1746 1926 2088 2328 2568 2813 3103 3492 3852 5626 6206 6984 7704 8439 9309 10379 11252 11449 12412 16878 18618 20758 22504 22898 24824 25317 27927 31137 33756 34347 37236 41516 45796 50634 55854 62274 67512 68694 74472 83032 91592 93411 101268 103041 111708 124548 137388 186822 202536 206082 223416 249096 274776 300991 332021 373644 412164 601982 664042 747288 824328 902973 996063 1110553 1203964 1328084 1805946 1992126 2221106 2407928 2656168 2708919 2988189 3331659 3611892 3984252 4442212 5417838 5976378 6663318 7223784 7968504 8884424 9994977 10835676 11952756 13326636 19989954 21671352 23905512 26653272 32206037 39979908 64412074 79959816 96618111 128824148 193236222 257648296 289854333 386472444 579708666 772944888 1159417332 2318834664