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12344434240 = 26538576357
BaseRepresentation
bin10110111111100100…
…10001111001000000
31011212022020020022011
423133302101321000
5200240133343430
65400532022304
7614622650125
oct133762217100
934768206264
1012344434240
115265125176
122486161994
13121961c578
1485167a74c
154c3b0a22a
hex2dfc91e40

12344434240 has 28 divisors (see below), whose sum is σ = 29395184796. Its totient is φ = 4937773568.

The previous prime is 12344434217. The next prime is 12344434303. The reversal of 12344434240 is 4243444321.

12344434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5407543296 + 6936890944 = 73536^2 + 83288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19287859 + ... + 19288498.

Almost surely, 212344434240 is an apocalyptic number.

12344434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344434240 is an abundant number, since it is smaller than the sum of its proper divisors (17050750556).

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

12344434240 is an equidigital number, since it uses as much as digits as its factorization.

12344434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38576374 (or 38576364 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 12344434240 its reverse (4243444321), we get a palindrome (16587878561).

The spelling of 12344434240 in words is "twelve billion, three hundred forty-four million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 38576357 77152714 154305428 192881785 308610856 385763570 617221712 771527140 1234443424 1543054280 2468886848 3086108560 6172217120 12344434240