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30077024328 = 2334136915167
BaseRepresentation
bin11100000000101110…
…101111100001001000
32212122010020010220000
4130000232233201020
5443044204234303
621452303003000
72113223326401
oct340056574110
985563203800
1030077024328
11118347725aa
1259b4899460
132ab4322c20
1416547789a8
15bb0790da3
hex700baf848

30077024328 has 160 divisors (see below), whose sum is σ = 90872664960. Its totient is φ = 9239287680.

The previous prime is 30077024317. The next prime is 30077024357. The reversal of 30077024328 is 82342077003.

30077024328 is a `hidden beast` number, since 300 + 7 + 7 + 0 + 24 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30077024292 and 30077024301.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5818401 + ... + 5823567.

It is an arithmetic number, because the mean of its divisors is an integer number (567954156).

Almost surely, 230077024328 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 30077024328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45436332480).

30077024328 is an abundant number, since it is smaller than the sum of its proper divisors (60795640632).

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

30077024328 is a wasteful number, since it uses less digits than its factorization.

30077024328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 30077024328 in words is "thirty billion, seventy-seven million, twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 691 702 936 1053 1382 1404 2073 2106 2764 2808 4146 4212 5167 5528 6219 8292 8424 8983 10334 12438 15501 16584 17966 18657 20668 24876 26949 31002 35932 37314 41336 46503 49752 53898 55971 62004 67171 71864 74628 80847 93006 107796 111942 124008 134342 139509 149256 161694 186012 201513 215592 223884 242541 268684 279018 323388 372024 403026 418527 447768 485082 537368 558036 604539 646776 727623 806052 837054 970164 1116072 1209078 1455246 1612104 1674108 1813617 1940328 2418156 2910492 3348216 3570397 3627234 4836312 5440851 5820984 7140794 7254468 10711191 10881702 14281588 14508936 21422382 21763404 28563176 32133573 42844764 43526808 46415161 64267146 85689528 92830322 96400719 128534292 139245483 185660644 192801438 257068584 278490966 289202157 371321288 385602876 417736449 556981932 578404314 771205752 835472898 1113963864 1156808628 1253209347 1670945796 2313617256 2506418694 3341891592 3759628041 5012837388 7519256082 10025674776 15038512164 30077024328