Search a number
-
+
30449315232 = 25367263709
BaseRepresentation
bin11100010110111010…
…111010110110100000
32220121001202111000000
4130112322322312200
5444330011041412
621553242300000
72125363623540
oct342672726640
986531674000
1030449315232
1111a05932236
125a994b7600
132b434b21bb
14168bda9320
15bd32ce4dc
hex716ebada0

30449315232 has 336 divisors, whose sum is σ = 103255447680. Its totient is φ = 8654501376.

The previous prime is 30449315227. The next prime is 30449315257. The reversal of 30449315232 is 23251394403.

30449315232 is a `hidden beast` number, since 3 + 0 + 44 + 93 + 1 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42946494 + ... + 42947202.

It is an arithmetic number, because the mean of its divisors is an integer number (307307880).

Almost surely, 230449315232 is an apocalyptic number.

30449315232 is a gapful number since it is divisible by the number (32) 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 30449315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51627723840).

30449315232 is an abundant number, since it is smaller than the sum of its proper divisors (72806132448).

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

30449315232 is an equidigital number, since it uses as much as digits as its factorization.

30449315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 30449315232 in words is "thirty billion, four hundred forty-nine million, three hundred fifteen thousand, two hundred thirty-two".