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30202978344 = 233711313714249
BaseRepresentation
bin11100001000001111…
…001110000000101000
32212221220020021022120
4130020033032000220
5443323430301334
621513002351240
72116313036310
oct341017160050
985856207276
1030202978344
1111899880730
125a2aabb520
132b04452c26
1416673a4440
15bbb870949
hex7083ce028

30202978344 has 256 divisors, whose sum is σ = 99809280000. Its totient is φ = 7386163200.

The previous prime is 30202978301. The next prime is 30202978349. The reversal of 30202978344 is 44387920203.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30202978296 and 30202978305.

It is not an unprimeable number, because it can be changed into a prime (30202978349) 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 63 ways as a sum of consecutive naturals, for example, 2112532 + ... + 2126780.

It is an arithmetic number, because the mean of its divisors is an integer number (389880000).

Almost surely, 230202978344 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 30202978344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49904640000).

30202978344 is an abundant number, since it is smaller than the sum of its proper divisors (69606301656).

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

30202978344 is a wasteful number, since it uses less digits than its factorization.

30202978344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 30202978344 in words is "thirty billion, two hundred two million, nine hundred seventy-eight thousand, three hundred forty-four".