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30392340480 = 21235531197
BaseRepresentation
bin11100010011100001…
…100101000000000000
32220110002112212100000
4130103201211000000
5444220414343410
621543445200000
72124102426435
oct342341450000
986402485300
1030392340480
1111986758267
125a82400000
132b34754228
1416845b7b8c
15bcd2c7dc0
hex713865000

30392340480 has 624 divisors, whose sum is σ = 113345616384. Its totient is φ = 7803371520.

The previous prime is 30392340457. The next prime is 30392340481. The reversal of 30392340480 is 8404329303.

It is a happy number.

30392340480 is a `hidden beast` number, since 303 + 9 + 2 + 340 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30392340481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154275742 + ... + 154275938.

It is an arithmetic number, because the mean of its divisors is an integer number (181643616).

Almost surely, 230392340480 is an apocalyptic number.

30392340480 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 30392340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56672808192).

30392340480 is an abundant number, since it is smaller than the sum of its proper divisors (82953275904).

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

30392340480 is an equidigital number, since it uses as much as digits as its factorization.

30392340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 30392340480 its reverse (8404329303), we get a palindrome (38796669783).

The spelling of 30392340480 in words is "thirty billion, three hundred ninety-two million, three hundred forty thousand, four hundred eighty".