Search a number
-
+
30030300432 = 243211194124337
BaseRepresentation
bin11011111101111100…
…100000010100010000
32212111212022022202100
4123331330200110100
5443000224103212
621443513320400
72112115225206
oct337574402420
985455268670
1030030300432
111181035a210
1259a1106100
132aa7743a52
14164c495076
15bab611bdc
hex6fdf20510

30030300432 has 240 divisors, whose sum is σ = 98866797120. Its totient is φ = 8410521600.

The previous prime is 30030300431. The next prime is 30030300529. The reversal of 30030300432 is 23400303003.

30030300432 is a `hidden beast` number, since 300 + 30 + 300 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30030300431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1221768 + ... + 1246104.

It is an arithmetic number, because the mean of its divisors is an integer number (411944988).

Almost surely, 230030300432 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 30030300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49433398560).

30030300432 is an abundant number, since it is smaller than the sum of its proper divisors (68836496688).

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

30030300432 is a wasteful number, since it uses less digits than its factorization.

30030300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24422 (or 24413 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30030300432 its reverse (23400303003), we get a palindrome (53430603435).

The spelling of 30030300432 in words is "thirty billion, thirty million, three hundred thousand, four hundred thirty-two".