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348387280008 = 23319764007193
BaseRepresentation
bin1010001000111011000…
…00000000010010001000
31020022020201010112102220
411010131200000102020
521201444120430013
6424014044254040
734112235006465
oct5043540002210
91208221115386
10348387280008
1112482859aa09
125762a241320
1326b11730c41
1412c0d5ca66c
1590e0690b23
hex511d800488

348387280008 has 32 divisors (see below), whose sum is σ = 916808632800. Its totient is φ = 110017035648.

The previous prime is 348387280001. The next prime is 348387280019. The reversal of 348387280008 is 800082783843.

348387280008 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (348387280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382003141 + ... + 382004052.

It is an arithmetic number, because the mean of its divisors is an integer number (28650269775).

Almost surely, 2348387280008 is an apocalyptic number.

348387280008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

348387280008 is an abundant number, since it is smaller than the sum of its proper divisors (568421352792).

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

348387280008 is a wasteful number, since it uses less digits than its factorization.

348387280008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764007221 (or 764007217 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 348387280008 in words is "three hundred forty-eight billion, three hundred eighty-seven million, two hundred eighty thousand, eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 764007193 1528014386 2292021579 3056028772 4584043158 6112057544 9168086316 14516136667 18336172632 29032273334 43548410001 58064546668 87096820002 116129093336 174193640004 348387280008