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348375742832 = 24132157820619
BaseRepresentation
bin1010001000111001100…
…11111111100101110000
31020022012220102101102002
411010130303333211300
521201433142232312
6424012553113132
734112034645425
oct5043463774560
91208186371362
10348375742832
1112482202a957
12576263b87a8
1326b0c221800
1412c0bc65d4c
1590de6624c2
hex511ccff970

348375742832 has 60 divisors (see below), whose sum is σ = 735549607080. Its totient is φ = 159764477184.

The previous prime is 348375742769. The next prime is 348375742843. The reversal of 348375742832 is 238247573843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14219 + ... + 834837.

It is an arithmetic number, because the mean of its divisors is an integer number (12259160118).

Almost surely, 2348375742832 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 348375742832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367774803540).

348375742832 is an abundant number, since it is smaller than the sum of its proper divisors (387173864248).

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

348375742832 is a wasteful number, since it uses less digits than its factorization.

348375742832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820810 (or 820791 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 56.

The spelling of 348375742832 in words is "three hundred forty-eight billion, three hundred seventy-five million, seven hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 157 169 208 314 338 628 676 1256 1352 2041 2512 2704 4082 8164 16328 26533 32656 53066 106132 212264 424528 820619 1641238 3282476 6564952 10668047 13129904 21336094 42672188 85344376 128837183 138684611 170688752 257674366 277369222 515348732 554738444 1030697464 1109476888 1674883379 2061394928 2218953776 3349766758 6699533516 13399067032 21773483927 26798134064 43546967854 87093935708 174187871416 348375742832