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12034342320 = 24357111350093
BaseRepresentation
bin10110011010100110…
…10111110110110000
31011001200201221011020
423031103113312300
5144121242423240
65310053415440
7604136136060
oct131523276660
934050657136
1012034342320
115116088560
1223ba33a580
13119a2ca120
148223db3a0
154a67a60d0
hex2cd4d7db0

12034342320 has 320 divisors, whose sum is σ = 50090793984. Its totient is φ = 2308239360.

The previous prime is 12034342319. The next prime is 12034342343. The reversal of 12034342320 is 2324343021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 215194 + ... + 265286.

Almost surely, 212034342320 is an apocalyptic number.

12034342320 is a gapful number since it is divisible by the number (10) 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 12034342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045396992).

12034342320 is an abundant number, since it is smaller than the sum of its proper divisors (38056451664).

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

12034342320 is a wasteful number, since it uses less digits than its factorization.

12034342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50140 (or 50134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12034342320 its reverse (2324343021), we get a palindrome (14358685341).

The spelling of 12034342320 in words is "twelve billion, thirty-four million, three hundred forty-two thousand, three hundred twenty".