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349827216 = 24310966863
BaseRepresentation
bin10100110110011…
…111000010010000
3220101021001201120
4110312133002100
51204023432331
654414002240
711445324264
oct2466370220
9811231646
10349827216
1116a517402
12991a6380
135762566b
14346640a4
1520aa2796
hex14d9f090

349827216 has 40 divisors (see below), whose sum is σ = 912024960. Its totient is φ = 115537536.

The previous prime is 349827161. The next prime is 349827229. The reversal of 349827216 is 612728943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28200 + ... + 38663.

It is an arithmetic number, because the mean of its divisors is an integer number (22800624).

Almost surely, 2349827216 is an apocalyptic number.

It is an amenable number.

349827216 is an abundant number, since it is smaller than the sum of its proper divisors (562197744).

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

349827216 is a wasteful number, since it uses less digits than its factorization.

349827216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66983 (or 66977 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 349827216 is about 18703.6685171653. The cubic root of 349827216 is about 704.6138864548.

The spelling of 349827216 in words is "three hundred forty-nine million, eight hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 66863 133726 200589 267452 401178 534904 802356 1069808 1604712 3209424 7288067 14576134 21864201 29152268 43728402 58304536 87456804 116609072 174913608 349827216