Search a number
-
+
2340984075930 = 2325376111524561
BaseRepresentation
bin100010000100001101100…
…001100011011010011010
322021210111012112122121100
4202010031201203122122
5301323313410412210
64551233325052230
7331062524220303
oct42041541433232
98253435478540
102340984075930
11822895532a15
123198469b7076
1313c9a5298586
1481438b637aa
1540d6375b5c0
hex2210d86369a

2340984075930 has 96 divisors (see below), whose sum is σ = 6353537128848. Its totient is φ = 597433190400.

The previous prime is 2340984075919. The next prime is 2340984075979. The reversal of 2340984075930 is 395704890432.

2340984075930 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 9 + 8 + 40 + 7 + 593 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1343264774049 + 997719301881 = 1158993^2 + 998859^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5559151 + ... + 5965410.

Almost surely, 22340984075930 is an apocalyptic number.

2340984075930 is an abundant number, since it is smaller than the sum of its proper divisors (4012553052918).

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

2340984075930 is a wasteful number, since it uses less digits than its factorization.

2340984075930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524672 (or 11524669 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2340984075930 in words is "two trillion, three hundred forty billion, nine hundred eighty-four million, seventy-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 111 122 183 185 222 305 333 366 370 549 555 610 666 915 1098 1110 1665 1830 2257 2745 3330 4514 5490 6771 11285 13542 20313 22570 33855 40626 67710 101565 203130 11524561 23049122 34573683 57622805 69147366 103721049 115245610 172868415 207442098 345736830 426408757 518605245 702998221 852817514 1037210490 1279226271 1405996442 2108994663 2132043785 2558452542 3514991105 3837678813 4217989326 4264087570 6326983989 6396131355 7029982210 7675357626 10544973315 12653967978 12792262710 19188394065 21089946630 26010934177 31634919945 38376788130 52021868354 63269839890 78032802531 130054670885 156065605062 234098407593 260109341770 390164012655 468196815186 780328025310 1170492037965 2340984075930