Search a number
-
+
30189878334 = 2337311712087
BaseRepresentation
bin11100000111011101…
…001111110000111110
32212220222120201111000
4130013131033300332
5443312102101314
621511413511130
72116063506000
oct340735176076
985828521430
1030189878334
1111892443480
125a266424a6
132b01817345
141665754370
15bba634209
hex70774fc3e

30189878334 has 256 divisors, whose sum is σ = 86593536000. Its totient is φ = 7727378400.

The previous prime is 30189878287. The next prime is 30189878357. The reversal of 30189878334 is 43387898103.

It is a super-2 number, since 2×301898783342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14464639 + ... + 14466725.

It is an arithmetic number, because the mean of its divisors is an integer number (338256000).

Almost surely, 230189878334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30189878334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43296768000).

30189878334 is an abundant number, since it is smaller than the sum of its proper divisors (56403657666).

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

30189878334 is a wasteful number, since it uses less digits than its factorization.

30189878334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30189878334 in words is "thirty billion, one hundred eighty-nine million, eight hundred seventy-eight thousand, three hundred thirty-four".