Search a number
-
+
2340211104 = 2532711105529
BaseRepresentation
bin1000101101111100…
…1100100110100000
320001002112001010100
42023133030212200
514243043223404
61024114502400
7111664315620
oct21337144640
96032461110
102340211104
11aa0a96270
12553894a00
132b3ab3aca
14182b38880
15da6b5d39
hex8b7cc9a0

2340211104 has 144 divisors (see below), whose sum is σ = 8297190720. Its totient is φ = 607841280.

The previous prime is 2340211091. The next prime is 2340211147. The reversal of 2340211104 is 4011120432.

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

It is a super-2 number, since 2×23402111042 = 10953176022569797632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30589 + ... + 74940.

It is an arithmetic number, because the mean of its divisors is an integer number (57619380).

Almost surely, 22340211104 is an apocalyptic number.

2340211104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2340211104 is an abundant number, since it is smaller than the sum of its proper divisors (5956979616).

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

2340211104 is a wasteful number, since it uses less digits than its factorization.

2340211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105563 (or 105552 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2340211104 is about 48375.7284596315. The cubic root of 2340211104 is about 1327.6543168090.

Adding to 2340211104 its reverse (4011120432), we get a palindrome (6351331536).

It can be divided in two parts, 2340 and 211104, that added together give a square (213444 = 4622).

The spelling of 2340211104 in words is "two billion, three hundred forty million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 105529 211058 316587 422116 633174 738703 844232 949761 1160819 1266348 1477406 1688464 1899522 2216109 2321638 2532696 2954812 3376928 3482457 3799044 4432218 4643276 5065392 5909624 6648327 6964914 7598088 8125733 8864436 9286552 10130784 10447371 11819248 13296654 13929828 15196176 16251466 17728872 18573104 20894742 23638496 24377199 26593308 27859656 30392352 32502932 35457744 37146208 41789484 48754398 53186616 55719312 65005864 70915488 73131597 83578968 97508796 106373232 111438624 130011728 146263194 167157936 195017592 212746464 260023456 292526388 334315872 390035184 585052776 780070368 1170105552 2340211104