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340344134032 = 247109239911621
BaseRepresentation
bin1001111001111100001…
…01110101100110010000
31012112111011112101101111
410330332011311212100
521034011044242112
6420204003543104
733406021256350
oct4747605654620
91175434471344
10340344134032
11121380433331
1255b6468aa94
132612c292376
14126892d0b60
158cbe4c15a7
hex4f3e175990

340344134032 has 80 divisors (see below), whose sum is σ = 760915584000. Its totient is φ = 144450915840.

The previous prime is 340344134029. The next prime is 340344134041. The reversal of 340344134032 is 230431443043.

It is a junction number, because it is equal to n+sod(n) for n = 340344133985 and 340344134003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29281182 + ... + 29292802.

It is an arithmetic number, because the mean of its divisors is an integer number (9511444800).

Almost surely, 2340344134032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340344134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380457792000).

340344134032 is an abundant number, since it is smaller than the sum of its proper divisors (420571449968).

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

340344134032 is a wasteful number, since it uses less digits than its factorization.

340344134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14144 (or 14138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 340344134032 its reverse (230431443043), we get a palindrome (570775577075).

The spelling of 340344134032 in words is "three hundred forty billion, three hundred forty-four million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 436 763 872 1526 1744 2399 3052 4798 6104 9596 11621 12208 16793 19192 23242 33586 38384 46484 67172 81347 92968 134344 162694 185936 261491 268688 325388 522982 650776 1045964 1266689 1301552 1830437 2091928 2533378 3660874 4183856 5066756 7321748 8866823 10133512 14643496 17733646 20267024 27878779 29286992 35467292 55757558 70934584 111515116 141869168 195151453 223030232 390302906 446060464 780605812 1561211624 3038786911 3122423248 6077573822 12155147644 21271508377 24310295288 42543016754 48620590576 85086033508 170172067016 340344134032