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30334340000 = 255410115017
BaseRepresentation
bin11100010000000100…
…010100101110100000
32220022001102010122002
4130100010110232200
5444111042340000
621534014103132
72122466431016
oct342004245640
986261363562
1030334340000
1111956a42688
125a66aaaaa8
132b25727413
14167a9da8b6
15bc816c8d5
hex710114ba0

30334340000 has 120 divisors (see below), whose sum is σ = 75370926708. Its totient is φ = 12012800000.

The previous prime is 30334339993. The next prime is 30334340011. The reversal of 30334340000 is 4343303.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 159870736 + 30174469264 = 12644^2 + 173708^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2012492 + ... + 2027508.

Almost surely, 230334340000 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 30334340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685463354).

30334340000 is an abundant number, since it is smaller than the sum of its proper divisors (45036586708).

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

30334340000 is a wasteful number, since it uses less digits than its factorization.

30334340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15148 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 30334340000 its reverse (4343303), we get a palindrome (30338683303).

It can be divided in two parts, 303343 and 40000, that added together give a palindrome (343343).

The spelling of 30334340000 in words is "thirty billion, three hundred thirty-four million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 12625 15017 16160 20000 20200 25250 30034 40400 50500 60068 63125 75085 80800 101000 120136 126250 150170 202000 240272 252500 300340 375425 404000 480544 505000 600680 750850 1010000 1201360 1501700 1516717 1877125 2020000 2402720 3003400 3033434 3754250 6006800 6066868 7508500 7583585 9385625 12013600 12133736 15017000 15167170 18771250 24267472 30034000 30334340 37542500 37917925 48534944 60068000 60668680 75085000 75835850 121337360 150170000 151671700 189589625 242674720 300340000 303343400 379179250 606686800 758358500 947948125 1213373600 1516717000 1895896250 3033434000 3791792500 6066868000 7583585000 15167170000 30334340000