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30321450400 = 255237901813
BaseRepresentation
bin11100001111010011…
…001001110110100000
32220021011011021102111
4130033103021312200
5444044242403100
621532433525104
72122252035013
oct341723116640
986234137374
1030321450400
111194a73951a
125a62713794
132b22b63537
14167900337a
15bc6e736ba
hex70f4c9da0

30321450400 has 36 divisors (see below), whose sum is σ = 74022242742. Its totient is φ = 12128579840.

The previous prime is 30321450389. The next prime is 30321450431. The reversal of 30321450400 is 405412303.

It can be written as a sum of positive squares in 3 ways, for example, as 19444629136 + 10876821264 = 139444^2 + 104292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18950107 + ... + 18951706.

Almost surely, 230321450400 is an apocalyptic number.

It is an amenable number.

30321450400 is an abundant number, since it is smaller than the sum of its proper divisors (43700792342).

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

30321450400 is a wasteful number, since it uses less digits than its factorization.

30321450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37901833 (or 37901820 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 30321450400 its reverse (405412303), we get a palindrome (30726862703).

The spelling of 30321450400 in words is "thirty billion, three hundred twenty-one million, four hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 37901813 75803626 151607252 189509065 303214504 379018130 606429008 758036260 947545325 1212858016 1516072520 1895090650 3032145040 3790181300 6064290080 7580362600 15160725200 30321450400