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34426744236 = 22325357731271
BaseRepresentation
bin100000000011111111…
…100110110110101100
310021212020222210212100
4200003333212312230
51031001221303421
623452044335100
72326061332503
oct400377466654
9107766883770
1034426744236
1113666aaa545
126809544490
1333285301a1
14194832583a
15d67596c26
hex803fe6dac

34426744236 has 72 divisors (see below), whose sum is σ = 88821611424. Its totient is φ = 11239188480.

The previous prime is 34426744213. The next prime is 34426744243. The reversal of 34426744236 is 63244762443.

34426744236 is a `hidden beast` number, since 344 + 2 + 6 + 74 + 4 + 236 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34426744191 and 34426744200.

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 23 ways as a sum of consecutive naturals, for example, 1085281 + ... + 1116551.

It is an arithmetic number, because the mean of its divisors is an integer number (1233633492).

Almost surely, 234426744236 is an apocalyptic number.

34426744236 is a gapful number since it is divisible by the number (36) 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 34426744236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44410805712).

34426744236 is an abundant number, since it is smaller than the sum of its proper divisors (54394867188).

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

34426744236 is a wasteful number, since it uses less digits than its factorization.

34426744236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31911 (or 31906 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 45.

The spelling of 34426744236 in words is "thirty-four billion, four hundred twenty-six million, seven hundred forty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 577 636 954 1154 1731 1908 2308 3462 5193 6924 10386 20772 30581 31271 61162 62542 91743 93813 122324 125084 183486 187626 275229 281439 366972 375252 550458 562878 1100916 1125756 1657363 3314726 4972089 6629452 9944178 14916267 18043367 19888356 29832534 36086734 54130101 59665068 72173468 108260202 162390303 216520404 324780606 649561212 956298451 1912596902 2868895353 3825193804 5737790706 8606686059 11475581412 17213372118 34426744236