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30304199520 = 253557111347
BaseRepresentation
bin11100001110010001…
…010110001101100000
32220012221200211200000
4130032101112031200
5444030333341040
621531020100000
72121652305630
oct341621261540
986187624600
1030304199520
1111940a266a1
125a58994600
132b1c40350a
1416769d26c0
15bc56b7130
hex70e456360

30304199520 has 288 divisors, whose sum is σ = 122564752128. Its totient is φ = 6926611968.

The previous prime is 30304199509. The next prime is 30304199531. The reversal of 30304199520 is 2599140303.

It is a happy number.

30304199520 is a `hidden beast` number, since 3 + 0 + 3 + 0 + 41 + 99 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (30304199509) and next prime (30304199531).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216487 + ... + 327833.

It is an arithmetic number, because the mean of its divisors is an integer number (425572056).

Almost surely, 230304199520 is an apocalyptic number.

30304199520 is a gapful number since it is divisible by the number (30) 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 30304199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61282376064).

30304199520 is an abundant number, since it is smaller than the sum of its proper divisors (92260552608).

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

30304199520 is a wasteful number, since it uses less digits than its factorization.

30304199520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111384 (or 111364 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 30304199520 in words is "thirty billion, three hundred four million, one hundred ninety-nine thousand, five hundred twenty".