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349383599670 = 235723475371409
BaseRepresentation
bin1010001010110001110…
…00101010011000110110
31020101211010212211002010
411011120320222120312
521211014200142140
6424300555025050
734146023411520
oct5053070523066
91211733784063
10349383599670
11125199a2a696
1257867a3b186
1326c3cc7cbc1
1412ca5a5aa10
15914cd96880
hex5158e2a636

349383599670 has 512 divisors, whose sum is σ = 1057754972160. Its totient is φ = 72141189120.

The previous prime is 349383599659. The next prime is 349383599683. The reversal of 349383599670 is 76995383943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 854238426 + ... + 854238834.

It is an arithmetic number, because the mean of its divisors is an integer number (2065927680).

Almost surely, 2349383599670 is an apocalyptic number.

349383599670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349383599670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528877486080).

349383599670 is an abundant number, since it is smaller than the sum of its proper divisors (708371372490).

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

349383599670 is a wasteful number, since it uses less digits than its factorization.

349383599670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its (nonzero) digits is 132269760, while the sum is 66.

The spelling of 349383599670 in words is "three hundred forty-nine billion, three hundred eighty-three million, five hundred ninety-nine thousand, six hundred seventy".