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348019300 = 225214923357
BaseRepresentation
bin10100101111100…
…101101001100100
3220020212012201201
4110233211221210
51203043104200
654311132244
711424054346
oct2457455144
9806765651
10348019300
111694a2062
1298674084
13571417a5
1434313296
1520846c6a
hex14be5a64

348019300 has 36 divisors (see below), whose sum is σ = 760302900. Its totient is φ = 138267520.

The previous prime is 348019289. The next prime is 348019303. The reversal of 348019300 is 3910843.

It can be written as a sum of positive squares in 6 ways, for example, as 12616704 + 335402596 = 3552^2 + 18314^2 .

It is a super-2 number, since 2×3480193002 = 242234866344980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348019303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3222 + ... + 26578.

It is an arithmetic number, because the mean of its divisors is an integer number (21119525).

Almost surely, 2348019300 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 348019300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380151450).

348019300 is an abundant number, since it is smaller than the sum of its proper divisors (412283600).

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

348019300 is a wasteful number, since it uses less digits than its factorization.

348019300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520 (or 23513 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 348019300 is about 18655.2753933036. The cubic root of 348019300 is about 703.3979685489.

The spelling of 348019300 in words is "three hundred forty-eight million, nineteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 23357 46714 93428 116785 233570 467140 583925 1167850 2335700 3480193 6960386 13920772 17400965 34801930 69603860 87004825 174009650 348019300