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348354430806 = 232631117719751
BaseRepresentation
bin1010001000110111000…
…10101100011101010110
31020022011102022121210210
411010123202230131112
521201412213241211
6424010512230250
734111355543304
oct5043342543526
91208142277723
10348354430806
11124810aa3908
125761b23b386
1326b0799c145
1412c090b9274
1590dc8529a6
hex511b8ac756

348354430806 has 32 divisors (see below), whose sum is σ = 699455927808. Its totient is φ = 115660424000.

The previous prime is 348354430799. The next prime is 348354430807. The reversal of 348354430806 is 608034453843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348354430807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17627431 + ... + 17647181.

It is an arithmetic number, because the mean of its divisors is an integer number (21857997744).

Almost surely, 2348354430806 is an apocalyptic number.

348354430806 is an abundant number, since it is smaller than the sum of its proper divisors (351101497002).

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

348354430806 is a wasteful number, since it uses less digits than its factorization.

348354430806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31196.

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 348354430806 in words is "three hundred forty-eight billion, three hundred fifty-four million, four hundred thirty thousand, eight hundred six".

Divisors: 1 2 3 6 263 526 789 1578 11177 19751 22354 33531 39502 59253 67062 118506 2939551 5194513 5879102 8818653 10389026 15583539 17637306 31167078 220756927 441513854 662270781 1324541562 58059071801 116118143602 174177215403 348354430806