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348803104 = 2513899421
BaseRepresentation
bin10100110010100…
…101000000100000
3220022100000220111
4110302211000200
51203243144404
654340021104
711433530446
oct2462450040
9808300814
10348803104
11169987a31
1298991794
1357357490
1434478b96
152094e104
hex14ca5020

348803104 has 48 divisors (see below), whose sum is σ = 747918360. Its totient is φ = 159160320.

The previous prime is 348803069. The next prime is 348803111. The reversal of 348803104 is 401308843.

It can be written as a sum of positive squares in 4 ways, for example, as 154256400 + 194546704 = 12420^2 + 13948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32314 + ... + 41734.

Almost surely, 2348803104 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 348803104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373959180).

348803104 is an abundant number, since it is smaller than the sum of its proper divisors (399115256).

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

348803104 is a wasteful number, since it uses less digits than its factorization.

348803104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9525 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 348803104 is about 18676.2711481709. The cubic root of 348803104 is about 703.9256335014.

The spelling of 348803104 in words is "three hundred forty-eight million, eight hundred three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 89 104 178 208 356 416 712 1157 1424 2314 2848 4628 9256 9421 18512 18842 37024 37684 75368 122473 150736 244946 301472 489892 838469 979784 1676938 1959568 3353876 3919136 6707752 10900097 13415504 21800194 26831008 43600388 87200776 174401552 348803104