Search a number
-
+
2320434144 = 253276118869
BaseRepresentation
bin1000101001001111…
…0000001111100000
312222201022021020100
42022103300033200
514223012343034
61022130542400
7111334236060
oct21223601740
95881267210
102320434144
11a90908576
12549137a00
132ac97b072
1418026b3a0
15d8aab099
hex8a4f03e0

2320434144 has 144 divisors (see below), whose sum is σ = 7665446880. Its totient is φ = 652078080.

The previous prime is 2320434139. The next prime is 2320434157. The reversal of 2320434144 is 4414340232.

It is a happy number.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 113542 + ... + 132410.

It is an arithmetic number, because the mean of its divisors is an integer number (53232270).

Almost surely, 22320434144 is an apocalyptic number.

2320434144 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 2320434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832723440).

2320434144 is an abundant number, since it is smaller than the sum of its proper divisors (5345012736).

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

2320434144 is a wasteful number, since it uses less digits than its factorization.

2320434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18953 (or 18942 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2320434144 is about 48170.8848164532. The cubic root of 2320434144 is about 1323.9037604645.

Adding to 2320434144 its reverse (4414340232), we get a palindrome (6734774376).

The spelling of 2320434144 in words is "two billion, three hundred twenty million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 366 427 488 504 549 672 732 854 976 1008 1098 1281 1464 1708 1952 2016 2196 2562 2928 3416 3843 4392 5124 5856 6832 7686 8784 10248 13664 15372 17568 18869 20496 30744 37738 40992 56607 61488 75476 113214 122976 132083 150952 169821 226428 264166 301904 339642 396249 452856 528332 603808 679284 792498 905712 1056664 1151009 1188747 1358568 1584996 1811424 2113328 2302018 2377494 2717136 3169992 3453027 4226656 4604036 4754988 5434272 6339984 6906054 8057063 9208072 9509976 10359081 12679968 13812108 16114126 18416144 19019952 20718162 24171189 27624216 32228252 36832288 38039904 41436324 48342378 55248432 64456504 72513567 82872648 96684756 110496864 128913008 145027134 165745296 193369512 257826016 290054268 331490592 386739024 580108536 773478048 1160217072 2320434144