Search a number
-
+
30339863424 = 2732132025899
BaseRepresentation
bin11100010000011001…
…011001001110000000
32220022102210202100100
4130100121121032000
5444114001112144
621534332322400
72122564404213
oct342031311600
986272722310
1030339863424
111195a0754a2
125a68913400
132b2690c510
14167b63777a
15bc88ae269
hex710659380

30339863424 has 96 divisors (see below), whose sum is σ = 94022019000. Its totient is φ = 9335337984.

The previous prime is 30339863341. The next prime is 30339863447. The reversal of 30339863424 is 42436893303.

30339863424 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 9 + 8 + 634 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 30339863424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997974 + ... + 1027925.

Almost surely, 230339863424 is an apocalyptic number.

It is an amenable number.

30339863424 is an abundant number, since it is smaller than the sum of its proper divisors (63682155576).

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

30339863424 is a wasteful number, since it uses less digits than its factorization.

30339863424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025932 (or 2025917 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 30339863424 in words is "thirty billion, three hundred thirty-nine million, eight hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 2025899 4051798 6077697 8103596 12155394 16207192 18233091 24310788 26336687 32414384 36466182 48621576 52673374 64828768 72932364 79010061 97243152 105346748 129657536 145864728 158020122 194486304 210693496 237030183 259315072 291729456 316040244 388972608 421386992 474060366 583458912 632080488 777945216 842773984 948120732 1166917824 1264160976 1685547968 1896241464 2333835648 2528321952 3371095936 3792482928 5056643904 7584965856 10113287808 15169931712 30339863424