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30308338944 = 283413293877
BaseRepresentation
bin11100001110100001…
…001000110100000000
32220020020111010220000
4130032201020310000
5444032413321234
621531244520000
72122032426132
oct341641106400
986206433800
1030308338944
11119432a3704
125a5a250000
132b20222690
14167738d052
15bc5c33899
hex70e848d00

30308338944 has 360 divisors, whose sum is σ = 100707859560. Its totient is φ = 9001746432.

The previous prime is 30308338909. The next prime is 30308338981. The reversal of 30308338944 is 44983380303.

30308338944 is a `hidden beast` number, since 3 + 0 + 308 + 338 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199148544 + 30109190400 = 14112^2 + 173520^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30308338944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7815534 + ... + 7819410.

Almost surely, 230308338944 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 30308338944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50353929780).

30308338944 is an abundant number, since it is smaller than the sum of its proper divisors (70399520616).

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

30308338944 is a wasteful number, since it uses less digits than its factorization.

30308338944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 30308338944 in words is "thirty billion, three hundred eight million, three hundred thirty-eight thousand, nine hundred forty-four".