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34023431104 = 2613371105231
BaseRepresentation
bin11111101011111101…
…000101101111000000
310020211011002101020221
4133223331011233000
51024134444243404
623344040112424
72313063251455
oct375375055700
9106734071227
1034023431104
111347a381403
126716465714
133292acb870
14190a93b82c
15d41e7b954
hex7ebf45bc0

34023431104 has 56 divisors (see below), whose sum is σ = 74673894848. Its totient is φ = 15278699520.

The previous prime is 34023431089. The next prime is 34023431107. The reversal of 34023431104 is 40113432043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023431107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521832 + ... + 583399.

It is an arithmetic number, because the mean of its divisors is an integer number (1333462408).

Almost surely, 234023431104 is an apocalyptic number.

It is an amenable number.

34023431104 is an abundant number, since it is smaller than the sum of its proper divisors (40650463744).

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

34023431104 is a wasteful number, since it uses less digits than its factorization.

34023431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105293 (or 1105283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34023431104 its reverse (40113432043), we get a palindrome (74136863147).

The spelling of 34023431104 in words is "thirty-four billion, twenty-three million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2368 3848 7696 15392 30784 1105231 2210462 4420924 8841848 14368003 17683696 28736006 35367392 40893547 57472012 70734784 81787094 114944024 163574188 229888048 327148376 459776096 531616111 654296752 919552192 1063232222 1308593504 2126464444 2617187008 4252928888 8505857776 17011715552 34023431104