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349200006320 = 24511396818189
BaseRepresentation
bin1010001010011011111…
…00010011110010110000
31020101100100102022100102
411011031330103302300
521210130200200240
6424230440011532
734141334036114
oct5051574236260
91211310368312
10349200006320
11125105333250
1257816460ba8
1326c10c1b599
1412c89509744
15913bbcd815
hex514df13cb0

349200006320 has 40 divisors (see below), whose sum is σ = 885698200080. Its totient is φ = 126981820160.

The previous prime is 349200006307. The next prime is 349200006349. The reversal of 349200006320 is 23600002943.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 198408215 + ... + 198409974.

It is an arithmetic number, because the mean of its divisors is an integer number (22142455002).

Almost surely, 2349200006320 is an apocalyptic number.

It is an amenable number.

349200006320 is an abundant number, since it is smaller than the sum of its proper divisors (536498193760).

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

349200006320 is a wasteful number, since it uses less digits than its factorization.

349200006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396818213 (or 396818207 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 349200006320 in words is "three hundred forty-nine billion, two hundred million, six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 396818189 793636378 1587272756 1984090945 3174545512 3968181890 4365000079 6349091024 7936363780 8730000158 15872727560 17460000316 21825000395 31745455120 34920000632 43650000790 69840001264 87300001580 174600003160 349200006320