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338875488 = 2534719983
BaseRepresentation
bin10100001100101…
…101010001100000
3212121122122210000
4110030231101200
51143223003423
653343140000
711253252120
oct2414552140
9777578700
10338875488
11164317196
12955a4600
135528c853
1433012c80
151eb3c843
hex1432d460

338875488 has 240 divisors, whose sum is σ = 1200165120. Its totient is φ = 91632384.

The previous prime is 338875487. The next prime is 338875519. The reversal of 338875488 is 884578833.

It is a super-2 number, since 2×3388754882 = 229673192734476288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338875487) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 344245 + ... + 345227.

It is an arithmetic number, because the mean of its divisors is an integer number (5000688).

Almost surely, 2338875488 is an apocalyptic number.

338875488 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 338875488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600082560).

338875488 is an abundant number, since it is smaller than the sum of its proper divisors (861289632).

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

338875488 is a wasteful number, since it uses less digits than its factorization.

338875488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1014 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 338875488 is about 18408.5710472052. The cubic root of 338875488 is about 697.1828874136.

It can be divided in two parts, 338 and 875488, that added together give a triangular number (875826 = T1323).

The spelling of 338875488 in words is "three hundred thirty-eight million, eight hundred seventy-five thousand, four hundred eighty-eight".