Search a number
-
+
30242021432 = 2374383337449
BaseRepresentation
bin11100001010100100…
…001010000000111000
32220001121200212100212
4130022210022000320
5443413424141212
621520515250252
72120265640460
oct341244120070
986047625325
1030242021432
1111909918347
125a3bba9988
132b0c57304c
14166c648ba0
15bbeed3e22
hex70a90a038

30242021432 has 128 divisors (see below), whose sum is σ = 67459392000. Its totient is φ = 12442042368.

The previous prime is 30242021419. The next prime is 30242021471. The reversal of 30242021432 is 23412024203.

It is a junction number, because it is equal to n+sod(n) for n = 30242021398 and 30242021407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67353944 + ... + 67354392.

It is an arithmetic number, because the mean of its divisors is an integer number (527026500).

Almost surely, 230242021432 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 30242021432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33729696000).

30242021432 is an abundant number, since it is smaller than the sum of its proper divisors (37217370568).

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

30242021432 is a wasteful number, since it uses less digits than its factorization.

30242021432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 30242021432 its reverse (23412024203), we get a palindrome (53654045635).

The spelling of 30242021432 in words is "thirty billion, two hundred forty-two million, twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 43 56 83 86 166 172 301 332 337 344 449 581 602 664 674 898 1162 1204 1348 1796 2324 2359 2408 2696 3143 3569 3592 4648 4718 6286 7138 9436 12572 14276 14491 18872 19307 24983 25144 27971 28552 28982 37267 38614 49966 55942 57964 74534 77228 99932 101437 111884 115928 135149 149068 151313 154456 195797 199864 202874 223768 260869 270298 298136 302626 391594 405748 521738 540596 605252 783188 811496 1043476 1059191 1081192 1202753 1210504 1566376 1602481 2086952 2118382 2405506 3204962 4236764 4811012 6409924 6506459 8419271 8473528 9622024 11217367 12558979 12819848 13012918 16838542 22434734 25117958 26025836 33677084 44869468 45545213 50235916 52051672 67354168 87912853 89738936 91090426 100471832 175825706 182180852 351651412 364361704 540036097 703302824 1080072194 2160144388 3780252679 4320288776 7560505358 15121010716 30242021432