Search a number
-
+
30330241404 = 223233116721227
BaseRepresentation
bin11100001111110100…
…101100000101111100
32220021202200220102020
4130033310230011330
5444104020211104
621533350200140
72122416540531
oct341764540574
986252626366
1030330241404
11119546a3311
125a65653050
132b24920a08
14167a250d88
15bc7b0d2d9
hex70fd2c17c

30330241404 has 96 divisors (see below), whose sum is σ = 76689801216. Its totient is φ = 9302082240.

The previous prime is 30330241387. The next prime is 30330241411. The reversal of 30330241404 is 40414203303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418239 + ... + 1439465.

It is an arithmetic number, because the mean of its divisors is an integer number (798852096).

Almost surely, 230330241404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30330241404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38344900608).

30330241404 is an abundant number, since it is smaller than the sum of its proper divisors (46359559812).

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

30330241404 is a wasteful number, since it uses less digits than its factorization.

30330241404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21455 (or 21453 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 30330241404 its reverse (40414203303), we get a palindrome (70744444707).

The spelling of 30330241404 in words is "thirty billion, three hundred thirty million, two hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 167 186 276 334 372 501 668 713 1002 1426 2004 2139 2852 3841 4278 5177 7682 8556 10354 11523 15364 15531 20708 21227 23046 31062 42454 46092 62124 63681 84908 119071 127362 238142 254724 357213 476284 488221 658037 714426 976442 1316074 1428852 1464663 1952884 1974111 2632148 2929326 3544909 3948222 5858652 7089818 7896444 10634727 14179636 15134851 21269454 30269702 42538908 45404553 60539404 81532907 90809106 109892179 163065814 181618212 219784358 244598721 326131628 329676537 439568716 489197442 659353074 978394884 1318706148 2527520117 5055040234 7582560351 10110080468 15165120702 30330241404