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2034344010024 = 233287587322591
BaseRepresentation
bin11101100110101000010…
…110100010000100101000
321012110222221011022211100
4131212220112202010220
5231312314031310044
64154321552201400
7266655640526124
oct35465026420450
97173887138740
102034344010024
11714840181947
1228a329839260
13119ab78b77b1
1470669bda584
1537db8180869
hex1d9a85a2128

2034344010024 has 48 divisors (see below), whose sum is σ = 5509761678720. Its totient is φ = 678104825760.

The previous prime is 2034344009989. The next prime is 2034344010031. The reversal of 2034344010024 is 4200104434302.

It is a happy number.

2034344010024 is a `hidden beast` number, since 203 + 4 + 3 + 440 + 10 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×20343440100242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2034344010024.

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 11 ways as a sum of consecutive naturals, for example, 6144969 + ... + 6467559.

It is an arithmetic number, because the mean of its divisors is an integer number (114786701640).

Almost surely, 22034344010024 is an apocalyptic number.

2034344010024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2034344010024 is an abundant number, since it is smaller than the sum of its proper divisors (3475417668696).

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

2034344010024 is a wasteful number, since it uses less digits than its factorization.

2034344010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410190 (or 410183 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2034344010024 its reverse (4200104434302), we get a palindrome (6234448444326).

The spelling of 2034344010024 in words is "two trillion, thirty-four billion, three hundred forty-four million, ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 87587 175174 262761 322591 350348 525522 645182 700696 788283 967773 1051044 1290364 1576566 1935546 2102088 2580728 2903319 3153132 3871092 5806638 6306264 7742184 11613276 23226552 28254777917 56509555834 84764333751 113019111668 169528667502 226038223336 254293001253 339057335004 508586002506 678114670008 1017172005012 2034344010024