Search a number
-
+
3453456125730 = 23513337132119891
BaseRepresentation
bin110010010000010010000…
…001101000111100100010
3110020010222021222012021110
4302100102001220330202
5423040134232010410
611202255034004150
7504334601505132
oct62202201507442
913203867865243
103453456125730
111111669a51586
12479377576656
131c0875c55470
14bd210806ac2
155ec74124720
hex32412068f22

3453456125730 has 128 divisors (see below), whose sum is σ = 8959569405696. Its totient is φ = 846874828800.

The previous prime is 3453456125689. The next prime is 3453456125747. The reversal of 3453456125730 is 375216543543.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3453456125730.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173609085 + ... + 173628975.

It is an arithmetic number, because the mean of its divisors is an integer number (69996635982).

Almost surely, 23453456125730 is an apocalyptic number.

3453456125730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3453456125730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479784702848).

3453456125730 is an abundant number, since it is smaller than the sum of its proper divisors (5506113279966).

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

3453456125730 is a wasteful number, since it uses less digits than its factorization.

3453456125730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21572.

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 3453456125730 in words is "three trillion, four hundred fifty-three billion, four hundred fifty-six million, one hundred twenty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 337 390 674 1011 1321 1685 2022 2642 3370 3963 4381 5055 6605 7926 8762 10110 13143 13210 17173 19815 19891 21905 26286 34346 39630 39782 43810 51519 59673 65715 85865 99455 103038 119346 131430 171730 198910 257595 258583 298365 445177 515190 517166 596730 775749 890354 1292915 1335531 1551498 2225885 2585830 2671062 3878745 4451770 5787301 6677655 6703267 7757490 11574602 13355310 13406534 17361903 20109801 26276011 28936505 33516335 34723806 40219602 52552022 57873010 67032670 78828033 86809515 87142471 100549005 131380055 157656066 173619030 174284942 201098010 261427413 262760110 341588143 394140165 435712355 522854826 683176286 788280330 871424710 1024764429 1307137065 1707940715 2049528858 2614274130 3415881430 5123822145 8855015707 10247644290 17710031414 26565047121 44275078535 53130094242 88550157070 115115204191 132825235605 230230408382 265650471210 345345612573 575576020955 690691225146 1151152041910 1726728062865 3453456125730