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348249888 = 2533771811
BaseRepresentation
bin10100110000011…
…101111100100000
3220021021221001000
4110300131330200
51203122444023
654320112000
711426034540
oct2460357440
9807257030
10348249888
1116963a328
1298765600
13571c272c
1434373320
1520890243
hex14c1df20

348249888 has 192 divisors, whose sum is σ = 1178634240. Its totient is φ = 97977600.

The previous prime is 348249887. The next prime is 348249911. The reversal of 348249888 is 888942843.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (348249887) 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 31 ways as a sum of consecutive naturals, for example, 429003 + ... + 429813.

It is an arithmetic number, because the mean of its divisors is an integer number (6138720).

Almost surely, 2348249888 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 348249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589317120).

348249888 is an abundant number, since it is smaller than the sum of its proper divisors (830384352).

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

348249888 is a wasteful number, since it uses less digits than its factorization.

348249888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 894 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 348249888 is about 18661.4546056839. The cubic root of 348249888 is about 703.5532849561.

The spelling of 348249888 in words is "three hundred forty-eight million, two hundred forty-nine thousand, eight hundred eighty-eight".