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3444234323418 = 2327223122579341
BaseRepresentation
bin110010000111101100010…
…111010000010111011010
3110012021011121112002200200
4302013230113100113122
5422412242441322133
611154132010443030
7503560223463120
oct62075427202732
913167147462620
103444234323418
111108767536a59
12477623133476
131bca365562c5
14bc9b7b75910
155e8d4733913
hex321ec5d05da

3444234323418 has 48 divisors (see below), whose sum is σ = 8566825053696. Its totient is φ = 979654085280.

The previous prime is 3444234323399. The next prime is 3444234323419. The reversal of 3444234323418 is 8143234324443.

3444234323418 is a `hidden beast` number, since 3 + 4 + 44 + 234 + 32 + 341 + 8 = 666.

3444234323418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34442343234182 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3444234323419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61261573 + ... + 61317768.

It is an arithmetic number, because the mean of its divisors is an integer number (178475521952).

Almost surely, 23444234323418 is an apocalyptic number.

3444234323418 is an abundant number, since it is smaller than the sum of its proper divisors (5122590730278).

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

3444234323418 is a wasteful number, since it uses less digits than its factorization.

3444234323418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122579579 (or 122579576 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 45.

The spelling of 3444234323418 in words is "three trillion, four hundred forty-four billion, two hundred thirty-four million, three hundred twenty-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 2007 3122 4014 4683 9366 14049 28098 122579341 245158682 367738023 735476046 858055387 1103214069 1716110774 2206428138 2574166161 5148332322 7722498483 15444996966 27335193043 54670386086 82005579129 164011158258 191346351301 246016737387 382692702602 492033474774 574039053903 1148078107806 1722117161709 3444234323418