Search a number
-
+
30336348714 = 2373153499881
BaseRepresentation
bin11100010000001011…
…111111001000101010
32220022012012012001220
4130100023333020222
5444112101124324
621534125122510
72122522465230
oct342013771052
986265165056
1030336348714
1111958094881
125a676b9436
132b25c7b7c9
14167ada0950
15bc8417b79
hex7102ff22a

30336348714 has 128 divisors (see below), whose sum is σ = 73156608000. Its totient is φ = 8203852800.

The previous prime is 30336348629. The next prime is 30336348787. The reversal of 30336348714 is 41784363303.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 34433554 + ... + 34434434.

It is an arithmetic number, because the mean of its divisors is an integer number (571536000).

Almost surely, 230336348714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30336348714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578304000).

30336348714 is an abundant number, since it is smaller than the sum of its proper divisors (42820259286).

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

30336348714 is a wasteful number, since it uses less digits than its factorization.

30336348714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 30336348714 in words is "thirty billion, three hundred thirty-six million, three hundred forty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 53 62 93 106 159 186 217 318 371 434 499 651 742 881 998 1113 1302 1497 1643 1762 2226 2643 2994 3286 3493 4929 5286 6167 6986 9858 10479 11501 12334 15469 18501 20958 23002 26447 27311 30938 34503 37002 46407 46693 52894 54622 69006 79341 81933 92814 93386 108283 140079 158682 163866 185129 191177 216566 280158 324849 326851 370258 382354 439619 555387 573531 649698 653702 819857 879238 980553 1110774 1147062 1318857 1447483 1639714 1961106 2459571 2637714 2894966 3077333 4342449 4919142 5738999 6154666 8684898 9231999 10132381 11477998 13628189 17216997 18463998 20264762 23299807 27256378 30397143 34433994 40884567 46599614 60794286 69899421 81769134 95397323 139798842 163098649 190794646 286191969 326197298 489295947 572383938 722294017 978591894 1444588034 2166882051 4333764102 5056058119 10112116238 15168174357 30336348714