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348936312 = 233235311927
BaseRepresentation
bin10100110011000…
…101100001111000
3220022120210122010
4110303011201320
51203311430222
654342525520
711434624014
oct2463054170
9808523563
10348936312
11169a6901a
1298a368a0
13573a2cba
14344b1544
152097880c
hex14cc5878

348936312 has 64 divisors (see below), whose sum is σ = 927521280. Its totient is φ = 109146752.

The previous prime is 348936299. The next prime is 348936317. The reversal of 348936312 is 213639843.

It is a super-2 number, since 2×3489363122 = 243513099664322688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348936317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23293 + ... + 35219.

It is an arithmetic number, because the mean of its divisors is an integer number (14492520).

Almost surely, 2348936312 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 348936312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463760640).

348936312 is an abundant number, since it is smaller than the sum of its proper divisors (578584968).

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

348936312 is a wasteful number, since it uses less digits than its factorization.

348936312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012 (or 12008 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 348936312 is about 18679.8370442571. The cubic root of 348936312 is about 704.0152318932.

The spelling of 348936312 in words is "three hundred forty-eight million, nine hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 92 106 138 159 184 212 276 318 424 552 636 1219 1272 2438 3657 4876 7314 9752 11927 14628 23854 29256 35781 47708 71562 95416 143124 274321 286248 548642 632131 822963 1097284 1264262 1645926 1896393 2194568 2528524 3291852 3792786 5057048 6583704 7585572 14539013 15171144 29078026 43617039 58156052 87234078 116312104 174468156 348936312