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349282925376 = 263711149915761
BaseRepresentation
bin1010001010100101110…
…00100111101101000000
31020101120010110000220120
411011102320213231000
521210312412103001
6424243001140240
734143361610460
oct5052270475500
91211503400816
10349282925376
111251481185a0
125783a18a680
1326c25161508
1412c96531ba0
15914410c236
hex5152e27b40

349282925376 has 224 divisors, whose sum is σ = 1153021824000. Its totient is φ = 90656563200.

The previous prime is 349282925357. The next prime is 349282925377. The reversal of 349282925376 is 673529282943.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349282925377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22153336 + ... + 22169096.

Almost surely, 2349282925376 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 349282925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576510912000).

349282925376 is an abundant number, since it is smaller than the sum of its proper divisors (803738898624).

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

349282925376 is a wasteful number, since it uses less digits than its factorization.

349282925376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17293 (or 17283 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 60.

The spelling of 349282925376 in words is "three hundred forty-nine billion, two hundred eighty-two million, nine hundred twenty-five thousand, three hundred seventy-six".