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30450422304 = 25321710360383
BaseRepresentation
bin11100010110111111…
…001001001000100000
32220121010211201121200
4130112333021020200
5444330302003204
621553322121200
72125406214261
oct342677111040
986533751550
1030450422304
1111a06518a75
125a99950200
132b437ac083
14168c1b6968
15bd344c539
hex716fc9220

30450422304 has 144 divisors (see below), whose sum is σ = 92578816512. Its totient is φ = 9460168704.

The previous prime is 30450422291. The next prime is 30450422339. The reversal of 30450422304 is 40322405403.

30450422304 is a `hidden beast` number, since 304 + 50 + 4 + 2 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474097 + ... + 534479.

It is an arithmetic number, because the mean of its divisors is an integer number (642908448).

Almost surely, 230450422304 is an apocalyptic number.

30450422304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30450422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46289408256).

30450422304 is an abundant number, since it is smaller than the sum of its proper divisors (62128394208).

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

30450422304 is a wasteful number, since it uses less digits than its factorization.

30450422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60519 (or 60508 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 30450422304 its reverse (40322405403), we get a palindrome (70772827707).

The spelling of 30450422304 in words is "thirty billion, four hundred fifty million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 103 136 144 153 204 206 272 288 306 309 408 412 544 612 618 816 824 927 1224 1236 1632 1648 1751 1854 2448 2472 3296 3502 3708 4896 4944 5253 7004 7416 9888 10506 14008 14832 15759 21012 28016 29664 31518 42024 56032 60383 63036 84048 120766 126072 168096 181149 241532 252144 362298 483064 504288 543447 724596 966128 1026511 1086894 1449192 1932256 2053022 2173788 2898384 3079533 4106044 4347576 5796768 6159066 6219449 8212088 8695152 9238599 12318132 12438898 16424176 17390304 18477198 18658347 24636264 24877796 32848352 36954396 37316694 49272528 49755592 55975041 73908792 74633388 98545056 99511184 105730633 111950082 147817584 149266776 199022368 211461266 223900164 295635168 298533552 317191899 422922532 447800328 597067104 634383798 845845064 895600656 951575697 1268767596 1691690128 1791201312 1903151394 2537535192 3383380256 3806302788 5075070384 7612605576 10150140768 15225211152 30450422304