Search a number
-
+
30344652360 = 233251128327077
BaseRepresentation
bin11100010000101011…
…101010011001001000
32220022202211001112100
4130100223222121020
5444121212333420
621535023113400
72122653201141
oct342053523110
986282731470
1030344652360
11119618464a0
125a6a442860
132b278c81c9
14167c122ac8
15bc9008190
hex710aea648

30344652360 has 192 divisors, whose sum is σ = 107969734080. Its totient is φ = 7330014720.

The previous prime is 30344652313. The next prime is 30344652391. The reversal of 30344652360 is 6325644303.

30344652360 is a `hidden beast` number, since 3 + 0 + 34 + 46 + 523 + 60 = 666.

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

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, 1107142 + ... + 1134218.

It is an arithmetic number, because the mean of its divisors is an integer number (562342365).

Almost surely, 230344652360 is an apocalyptic number.

30344652360 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 30344652360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53984867040).

30344652360 is an abundant number, since it is smaller than the sum of its proper divisors (77625081720).

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

30344652360 is a wasteful number, since it uses less digits than its factorization.

30344652360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27388 (or 27381 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 30344652360 in words is "thirty billion, three hundred forty-four million, six hundred fifty-two thousand, three hundred sixty".