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30783404304 = 2432146212
BaseRepresentation
bin11100101010110101…
…010111100100010000
32221110100101222001100
4130222311113210100
51001021022414204
622050335104400
72136561422262
oct345265274420
987410358040
1030783404304
111206747a304
125b71372100
132b97787243
1416c04d3b32
15c027c3a39
hex72ad57910

30783404304 has 45 divisors (see below), whose sum is σ = 86156669989. Its totient is φ = 10260432960.

The previous prime is 30783404293. The next prime is 30783404339. The reversal of 30783404304 is 40340438703.

It is a happy number.

The square root of 30783404304 is 175452.

It is a perfect power (a square), and thus also a powerful number.

30783404304 is a `hidden beast` number, since 3 + 0 + 7 + 8 + 340 + 4 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 30779193600 = 2052^2 + 175440^2 .

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

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2098114 + ... + 2112734.

Almost surely, 230783404304 is an apocalyptic number.

30783404304 is the 175452-nd square number.

It is an amenable number.

30783404304 is an abundant number, since it is smaller than the sum of its proper divisors (55373265685).

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

30783404304 is an frugal number, since it uses more digits than its factorization.

30783404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29256 (or 14626 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 30783404304 by its sum of digits (36), we get a square (1108202554944 = 10527122).

30783404304 divided by its sum of digits (36) gives a square (855094564 = 292422).

The spelling of 30783404304 in words is "thirty billion, seven hundred eighty-three million, four hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14621 29242 43863 58484 87726 116968 131589 175452 233936 263178 350904 526356 701808 1052712 2105424 213773641 427547282 641320923 855094564 1282641846 1710189128 1923962769 2565283692 3420378256 3847925538 5130567384 7695851076 10261134768 15391702152 30783404304