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348427104 = 25317317197
BaseRepresentation
bin10100110001001…
…001001101100000
3220021121221010120
4110301021031200
51203144131404
654324000240
711430403314
oct2461111540
9807557116
10348427104
11169750493
1298830080
13572552ac
14343bbb44
15208c79d9
hex14c49360

348427104 has 192 divisors, whose sum is σ = 1024192512. Its totient is φ = 103219200.

The previous prime is 348427049. The next prime is 348427147. The reversal of 348427104 is 401724843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3591984 + ... + 3592080.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2348427104 is an apocalyptic number.

348427104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512096256).

348427104 is an abundant number, since it is smaller than the sum of its proper divisors (675765408).

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

348427104 is a wasteful number, since it uses less digits than its factorization.

348427104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 348427104 is about 18666.2021846973. The cubic root of 348427104 is about 703.6726051724.

The spelling of 348427104 in words is "three hundred forty-eight million, four hundred twenty-seven thousand, one hundred four".