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348068448 = 253371319233
BaseRepresentation
bin10100101111110…
…001101001100000
3220020221201011000
4110233301221200
51203101142243
654312152000
711424350550
oct2457615140
9806851130
10348068448
11169525a82
1298698600
135715ac80
1434327160
15208565d3
hex14bf1a60

348068448 has 384 divisors, whose sum is σ = 1320883200. Its totient is φ = 86593536.

The previous prime is 348068443. The next prime is 348068449. The reversal of 348068448 is 844860843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348068443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1493740 + ... + 1493972.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2348068448 is an apocalyptic number.

348068448 is a gapful number since it is divisible by the number (38) 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 348068448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

348068448 is an abundant number, since it is smaller than the sum of its proper divisors (972814752).

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

348068448 is a wasteful number, since it uses less digits than its factorization.

348068448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 348068448 is about 18656.5926149445. The cubic root of 348068448 is about 703.4310787587.

The spelling of 348068448 in words is "three hundred forty-eight million, sixty-eight thousand, four hundred forty-eight".