Search a number
-
+
2340204244344 = 23347997471281
BaseRepresentation
bin100010000011011111000…
…010101110110101111000
322021201110212011002210000
4202003133002232311320
5301320214241304334
64551024110353000
7331034304603651
oct42033702566570
98251425132700
102340204244344
118225253179aa
123196697bb760
1313c8ac857675
14813a3368528
1540d1a06a299
hex220df0aed78

2340204244344 has 160 divisors (see below), whose sum is σ = 6706154347200. Its totient is φ = 762252042240.

The previous prime is 2340204244333. The next prime is 2340204244369. The reversal of 2340204244344 is 4434424020432.

2340204244344 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 204 + 2 + 443 + 4 + 4 = 666.

2340204244344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2340204244299 and 2340204244308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4729984 + ... + 5201264.

It is an arithmetic number, because the mean of its divisors is an integer number (41913464670).

Almost surely, 22340204244344 is an apocalyptic number.

2340204244344 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 2340204244344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353077173600).

2340204244344 is an abundant number, since it is smaller than the sum of its proper divisors (4365950102856).

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

2340204244344 is a wasteful number, since it uses less digits than its factorization.

2340204244344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471475 (or 471462 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2340204244344 its reverse (4434424020432), we get a palindrome (6774628264776).

The spelling of 2340204244344 in words is "two trillion, three hundred forty billion, two hundred four million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 97 108 158 162 194 216 237 291 316 324 388 474 582 632 648 711 776 873 948 1164 1422 1746 1896 2133 2328 2619 2844 3492 4266 5238 5688 6399 6984 7663 7857 8532 10476 12798 15326 15714 17064 20952 22989 25596 30652 31428 45978 51192 61304 62856 68967 91956 137934 183912 206901 275868 413802 471281 551736 620703 827604 942562 1241406 1413843 1655208 1885124 2482812 2827686 3770248 4241529 4965624 5655372 8483058 11310744 12724587 16966116 25449174 33932232 37231199 38173761 45714257 50898348 74462398 76347522 91428514 101796696 111693597 137142771 148924796 152695044 182857028 223387194 274285542 297849592 305390088 335080791 365714056 411428313 446774388 548571084 670161582 822856626 893548776 1005242373 1097142168 1234284939 1340323164 1645713252 2010484746 2468569878 2680646328 3015727119 3291426504 3611426303 3702854817 4020969492 4937139756 6031454238 7222852606 7405709634 8041938984 9874279512 10834278909 12062908476 14445705212 14811419268 21668557818 24125816952 28891410424 29622838536 32502836727 43337115636 65005673454 86674231272 97508510181 130011346908 195017020362 260022693816 292525530543 390034040724 585051061086 780068081448 1170102122172 2340204244344