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12344500434 = 237293916677
BaseRepresentation
bin10110111111100101…
…00010000011010010
31011212022100121002210
423133302202003102
5200240143003214
65400533252550
7614623344120
oct133762420322
934768317083
1012344500434
11526516a982
122486194156
131219643736
14851696910
154c3b1eb59
hex2dfca20d2

12344500434 has 16 divisors (see below), whose sum is σ = 28216001088. Its totient is φ = 3527000112.

The previous prime is 12344500433. The next prime is 12344500463. The reversal of 12344500434 is 43400544321.

12344500434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12344500433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 146958297 + ... + 146958380.

It is an arithmetic number, because the mean of its divisors is an integer number (1763500068).

Almost surely, 212344500434 is an apocalyptic number.

12344500434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12344500434 is an abundant number, since it is smaller than the sum of its proper divisors (15871500654).

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

12344500434 is a wasteful number, since it uses less digits than its factorization.

12344500434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293916689.

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 12344500434 in words is "twelve billion, three hundred forty-four million, five hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 293916677 587833354 881750031 1763500062 2057416739 4114833478 6172250217 12344500434