Search a number
-
+
30442342320 = 24335133373217
BaseRepresentation
bin11100010110100000…
…010100011110110000
32220120120122012222000
4130112200110132300
5444321214423240
621552433014000
72125250432415
oct342640243660
986516565860
1030442342320
1111a019aa3a5
125a970b4300
132b41c10410
14168b0b210c
15bd28a3430
hex7168147b0

30442342320 has 320 divisors, whose sum is σ = 113293165440. Its totient is φ = 7468941312.

The previous prime is 30442342309. The next prime is 30442342321. The reversal of 30442342320 is 2324324403.

30442342320 is a `hidden beast` number, since 3 + 0 + 4 + 423 + 4 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30442342321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9461352 + ... + 9464568.

It is an arithmetic number, because the mean of its divisors is an integer number (354041142).

Almost surely, 230442342320 is an apocalyptic number.

30442342320 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 30442342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56646582720).

30442342320 is an abundant number, since it is smaller than the sum of its proper divisors (82850823120).

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

30442342320 is a wasteful number, since it uses less digits than its factorization.

30442342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 30442342320 its reverse (2324324403), we get a palindrome (32766666723).

The spelling of 30442342320 in words is "thirty billion, four hundred forty-two million, three hundred forty-two thousand, three hundred twenty".