Search a number
-
+
30283570432 = 281719366239
BaseRepresentation
bin11100001101000010…
…101001110100000000
32220011111212202212201
4130031002221310000
5444010043223212
621525002002544
72121312046543
oct341502516400
986144782781
1030283570432
1111930316765
125a51aa6454
132b1805c95b
141673d8285a
15bc398eb57
hex70d0a9d00

30283570432 has 72 divisors (see below), whose sum is σ = 67373510400. Its totient is φ = 13500997632.

The previous prime is 30283570423. The next prime is 30283570433. The reversal of 30283570432 is 23407538203.

It is a junction number, because it is equal to n+sod(n) for n = 30283570391 and 30283570400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30283570433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100432 + ... + 265807.

It is an arithmetic number, because the mean of its divisors is an integer number (935743200).

Almost surely, 230283570432 is an apocalyptic number.

30283570432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30283570432 is an abundant number, since it is smaller than the sum of its proper divisors (37089939968).

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

30283570432 is a wasteful number, since it uses less digits than its factorization.

30283570432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366291 (or 366277 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 30283570432 in words is "thirty billion, two hundred eighty-three million, five hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 4352 4864 5168 10336 20672 41344 82688 366239 732478 1464956 2929912 5859824 6226063 6958541 11719648 12452126 13917082 23439296 24904252 27834164 46878592 49808504 55668328 93757184 99617008 111336656 118295197 199234016 222673312 236590394 398468032 445346624 473180788 796936064 890693248 946361576 1593872128 1781386496 1892723152 3785446304 7570892608 15141785216 30283570432