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30000420324 = 22327279215279
BaseRepresentation
bin11011111100001010…
…100001010111100100
32212102210002020221200
4123330022201113210
5442420101422244
621440525042500
72111303236200
oct337412412744
985383066850
1030000420324
11117a5500906
1259930b6430
132aa14b1504
141648517b00
15ba8bad669
hex6fc2a15e4

30000420324 has 108 divisors (see below), whose sum is σ = 89332588800. Its totient is φ = 8463008736.

The previous prime is 30000420271. The next prime is 30000420343. The reversal of 30000420324 is 42302400003.

30000420324 is a `hidden beast` number, since 300 + 0 + 0 + 42 + 0 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30000420297 and 30000420306.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31717 + ... + 246995.

It is an arithmetic number, because the mean of its divisors is an integer number (827153600).

Almost surely, 230000420324 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 30000420324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44666294400).

30000420324 is an abundant number, since it is smaller than the sum of its proper divisors (59332168476).

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

30000420324 is a wasteful number, since it uses less digits than its factorization.

30000420324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215382 (or 215370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30000420324 its reverse (42302400003), we get a palindrome (72302820327).

The spelling of 30000420324 in words is "thirty billion, four hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 79 84 98 126 147 158 196 237 252 294 316 441 474 553 588 711 882 948 1106 1422 1659 1764 2212 2844 3318 3871 4977 6636 7742 9954 11613 15484 19908 23226 34839 46452 69678 139356 215279 430558 645837 861116 1291674 1506953 1937511 2583348 3013906 3875022 4520859 6027812 7750044 9041718 10548671 13562577 17007041 18083436 21097342 27125154 31646013 34014082 42194684 51021123 54250308 63292026 68028164 94938039 102042246 119049287 126584052 153063369 189876078 204084492 238098574 306126738 357147861 379752156 476197148 612253476 714295722 833345009 1071443583 1428591444 1666690018 2142887166 2500035027 3333380036 4285774332 5000070054 7500105081 10000140108 15000210162 30000420324