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344042243304432 = 24319169475401817
BaseRepresentation
bin100111000111001111001001…
…1101100110010101111110000
31200010011010011110210111202120
41032032132103230302233300
5330043242003241220212
63215414454043114240
7132316142340650001
oct11616362354625760
91603133143714676
10344042243304432
119a693550201002
1232705837212980
13119c807653181a
1460d5a3a72d1a8
1529b94dce4088c
hex138e793b32bf0

344042243304432 has 80 divisors (see below), whose sum is σ = 893557843494912. Its totient is φ = 114063882365440.

The previous prime is 344042243304421. The next prime is 344042243304439. The reversal of 344042243304432 is 234403342240443.

It is a super-3 number, since 3×3440422433044323 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344042243304439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60989188 + ... + 66391004.

Almost surely, 2344042243304432 is an apocalyptic number.

It is an amenable number.

344042243304432 is an abundant number, since it is smaller than the sum of its proper divisors (549515600190480).

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

344042243304432 is a wasteful number, since it uses less digits than its factorization.

344042243304432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408966 (or 5408960 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 344042243304432 its reverse (234403342240443), we get a palindrome (578445585544875).

The spelling of 344042243304432 in words is "three hundred forty-four trillion, forty-two billion, two hundred forty-three million, three hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 764 1146 1528 2292 3056 4584 6947 9168 13894 20841 27788 41682 55576 83364 111152 166728 333456 1326877 2653754 3980631 5307508 5401817 7961262 10615016 10803634 15922524 16205451 21230032 21607268 31845048 32410902 43214536 63690096 64821804 86429072 129643608 259287216 1031747047 2063494094 3095241141 4126988188 6190482282 8253976376 12380964564 16507952752 24761929128 37526422699 49523858256 75052845398 112579268097 150105690796 225158536194 300211381592 450317072388 600422763184 900634144776 1801268289552 7167546735509 14335093471018 21502640206527 28670186942036 43005280413054 57340373884072 86010560826108 114680747768144 172021121652216 344042243304432