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30421708434 = 233131013891103
BaseRepresentation
bin11100010101010001…
…100110111010010010
32220112010210220121000
4130111101212322102
5444300424132214
621550414442430
72124610153335
oct342521467222
986463726530
1030421708434
11119a12968a7
125a90203416
132b3a867610
14168846061c
15bd0b79809
hex715466e92

30421708434 has 128 divisors (see below), whose sum is σ = 73780761600. Its totient is φ = 9235641600.

The previous prime is 30421708433. The next prime is 30421708439. The reversal of 30421708434 is 43480712403.

30421708434 is a `hidden beast` number, since 3 + 0 + 4 + 217 + 0 + 8 + 434 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30421708433) by changing a digit.

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, 27580327 + ... + 27581429.

It is an arithmetic number, because the mean of its divisors is an integer number (576412200).

Almost surely, 230421708434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30421708434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36890380800).

30421708434 is an abundant number, since it is smaller than the sum of its proper divisors (43359053166).

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

30421708434 is a wasteful number, since it uses less digits than its factorization.

30421708434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 30421708434 in words is "thirty billion, four hundred twenty-one million, seven hundred eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 303 351 389 606 702 778 909 1103 1167 1313 1818 2206 2334 2626 2727 3309 3501 3939 5057 5454 6618 7002 7878 9927 10114 10503 11817 14339 15171 19854 21006 23634 28678 29781 30342 35451 39289 43017 45513 59562 70902 78578 86034 91026 111403 117867 129051 136539 222806 235734 258102 273078 334209 353601 387153 429067 510757 668418 707202 774306 858134 1002627 1021514 1060803 1287201 1448239 1532271 2005254 2121606 2574402 2896478 3007881 3064542 3861603 4344717 4596813 5577871 6015762 7723206 8689434 9193626 11155742 11584809 13034151 13790439 16733613 23169618 26068302 27580878 33467226 39102453 43335767 50200839 78204906 86671534 100401678 130007301 150602517 260014602 301205034 390021903 563364971 780043806 1126729942 1170065709 1690094913 2340131418 3380189826 5070284739 10140569478 15210854217 30421708434