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2338128375 = 3531122272
BaseRepresentation
bin1000101101011101…
…0000000111110111
320000221121020011020
42023113100013313
514242030102000
61024002112223
7111640522542
oct21327200767
96027536136
102338128375
11a9a8a3500
1255304b673
132b3534b1b
14182755859
15da403ba0
hex8b5d01f7

2338128375 has 72 divisors (see below), whose sum is σ = 4295416944. Its totient is φ = 1128644000.

The previous prime is 2338128367. The next prime is 2338128379. The reversal of 2338128375 is 5738218332.

It is not a de Polignac number, because 2338128375 - 23 = 2338128367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338128379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10300012 + ... + 10300238.

Almost surely, 22338128375 is an apocalyptic number.

2338128375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2338128375 is a deficient number, since it is larger than the sum of its proper divisors (1957288569).

2338128375 is an equidigital number, since it uses as much as digits as its factorization.

2338128375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 246 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2338128375 is about 48354.1970773996. The cubic root of 2338128375 is about 1327.2603402639.

The spelling of 2338128375 in words is "two billion, three hundred thirty-eight million, one hundred twenty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 125 165 227 275 363 375 605 681 825 1135 1375 1815 2497 3025 3405 4125 5675 7491 9075 12485 15125 17025 27467 28375 37455 45375 51529 62425 82401 85125 137335 154587 187275 257645 312125 412005 566819 686675 772935 936375 1288225 1700457 2060025 2834095 3433375 3864675 6235009 6441125 8502285 10300125 14170475 18705027 19323375 31175045 42511425 70852375 93525135 155875225 212557125 467625675 779376125 2338128375