Search a number
-
+
30338398728 = 23321131971607
BaseRepresentation
bin11100010000010011…
…110011101000001000
32220022100001100011100
4130100103303220020
5444113112224403
621534241101400
72122546064031
oct342023635010
986270040140
1030338398728
1111959265000
125a68327860
132b26518931
14167b375a88
15bc86c02a3
hex7104f3a08

30338398728 has 192 divisors, whose sum is σ = 90892264320. Its totient is φ = 9141095040.

The previous prime is 30338398703. The next prime is 30338398729. The reversal of 30338398728 is 82789383303.

It is a happy number.

It is a super-2 number, since 2×303383987282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30338398729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18878101 + ... + 18879707.

It is an arithmetic number, because the mean of its divisors is an integer number (473397210).

Almost surely, 230338398728 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 30338398728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45446132160).

30338398728 is an abundant number, since it is smaller than the sum of its proper divisors (60553865592).

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

30338398728 is a wasteful number, since it uses less digits than its factorization.

30338398728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 30338398728 in words is "thirty billion, three hundred thirty-eight million, three hundred ninety-eight thousand, seven hundred twenty-eight".