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8238328 = 2371311123
BaseRepresentation
bin11111011011010011111000
3120111112212021
4133123103320
54102111303
6452324224
7130011310
oct37332370
916445767
108238328
11471763a
122913674
131925a67
141146440
15acaebd
hex7db4f8

8238328 has 32 divisors (see below), whose sum is σ = 17804160. Its totient is φ = 3500640.

The previous prime is 8238299. The next prime is 8238337.

8238328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8238293 and 8238302.

It is a congruent number.

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, 6775 + ... + 7897.

It is an arithmetic number, because the mean of its divisors is an integer number (556380).

Almost surely, 28238328 is an apocalyptic number.

It is an amenable number.

8238328 is an abundant number, since it is smaller than the sum of its proper divisors (9565832).

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

8238328 is a wasteful number, since it uses less digits than its factorization.

8238328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 8238328 is about 2870.2487697062. The cubic root of 8238328 is about 201.9666644333.

It can be divided in two parts, 8 and 238328, that multiplied together give a cube (1906624 = 1243).

The spelling of 8238328 in words is "eight million, two hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 131 262 524 917 1048 1123 1834 2246 3668 4492 7336 7861 8984 15722 31444 62888 147113 294226 588452 1029791 1176904 2059582 4119164 8238328