Search a number
-
+
30331334304 = 2533193749937
BaseRepresentation
bin11100001111111000…
…110110111010100000
32220021211202102121000
4130033320312322200
5444104310144204
621533425432000
72122432042035
oct341770667240
986254672530
1030331334304
111195527a437
125a65a9b600
132b24c142bb
14167a45738c
15bc7c77039
hex70fe36ea0

30331334304 has 192 divisors, whose sum is σ = 95641257600. Its totient is φ = 9319256064.

The previous prime is 30331334303. The next prime is 30331334311. The reversal of 30331334304 is 40343313303.

30331334304 is a `hidden beast` number, since 3 + 0 + 3 + 313 + 343 + 0 + 4 = 666.

It is a super-2 number, since 2×303313343042 (a number of 22 digits) contains 22 as substring.

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 (30331334303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 582424 + ... + 632360.

It is an arithmetic number, because the mean of its divisors is an integer number (498131550).

Almost surely, 230331334304 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 30331334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47820628800).

30331334304 is an abundant number, since it is smaller than the sum of its proper divisors (65309923296).

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

30331334304 is a wasteful number, since it uses less digits than its factorization.

30331334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50012 (or 49998 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 30331334304 its reverse (40343313303), we get a palindrome (70674647607).

The spelling of 30331334304 in words is "thirty billion, three hundred thirty-one million, three hundred thirty-four thousand, three hundred four".