Search a number
-
+
3408100740 = 223251113031321
BaseRepresentation
bin1100101100100011…
…0111110110000100
322210111221110022100
43023020313312010
523434433210430
61322103232100
7150312243522
oct31310676604
98714843270
103408100740
111499869590
127b1448630
13424101075
142448b9312
1514e307960
hexcb237d84

3408100740 has 144 divisors (see below), whose sum is σ = 11294914176. Its totient is φ = 824947200.

The previous prime is 3408100733. The next prime is 3408100757. The reversal of 3408100740 is 470018043.

3408100740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2579280 + ... + 2580600.

It is an arithmetic number, because the mean of its divisors is an integer number (78436904).

Almost surely, 23408100740 is an apocalyptic number.

3408100740 is a gapful number since it is divisible by the number (30) 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 3408100740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647457088).

3408100740 is an abundant number, since it is smaller than the sum of its proper divisors (7886813436).

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

3408100740 is a wasteful number, since it uses less digits than its factorization.

3408100740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3408100740 is about 58378.9408948124. The cubic root of 3408100740 is about 1504.8878685272.

Adding to 3408100740 its reverse (470018043), we get a palindrome (3878118783).

The spelling of 3408100740 in words is "three billion, four hundred eight million, one hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1303 1321 1980 2606 2642 3909 3963 5212 5284 6515 6605 7818 7926 11727 11889 13030 13210 14333 14531 15636 15852 19545 19815 23454 23778 26060 26420 28666 29062 39090 39630 42999 43593 46908 47556 57332 58124 58635 59445 71665 72655 78180 79260 85998 87186 117270 118890 128997 130779 143330 145310 171996 174372 214995 217965 234540 237780 257994 261558 286660 290620 429990 435930 515988 523116 644985 653895 859980 871860 1289970 1307790 1721263 2579940 2615580 3442526 5163789 6885052 8606315 10327578 15491367 17212630 18933893 20655156 25818945 30982734 34425260 37867786 51637890 56801679 61965468 75735572 77456835 94669465 103275780 113603358 154913670 170405037 189338930 227206716 284008395 309827340 340810074 378677860 568016790 681620148 852025185 1136033580 1704050370 3408100740