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2338875 = 3553711
BaseRepresentation
bin1000111011000000111011
311101211100000
420323000323
51044321000
6122044043
725610610
oct10730073
94354300
102338875
111358260
12949623
1363b766
1444c507
15313000
hex23b03b

2338875 has 96 divisors (see below), whose sum is σ = 5451264. Its totient is φ = 972000.

The previous prime is 2338873. The next prime is 2338883. The reversal of 2338875 is 5788332.

2338875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2338875 - 21 = 2338873 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime factors (48).

2338875 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338871) 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 95 ways as a sum of consecutive naturals, for example, 212620 + ... + 212630.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

22338875 is an apocalyptic number.

2338875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2338875 is an abundant number, since it is smaller than the sum of its proper divisors (3112389).

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

2338875 is an equidigital number, since it uses as much as digits as its factorization.

2338875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 26 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2338875 is about 1529.3380921170. The cubic root of 2338875 is about 132.7401601440.

The spelling of 2338875 in words is "two million, three hundred thirty-eight thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 81 99 105 125 135 165 175 189 225 231 243 275 297 315 375 385 405 495 525 567 675 693 825 875 891 945 1125 1155 1215 1375 1485 1575 1701 1925 2025 2079 2475 2625 2673 2835 3375 3465 4125 4455 4725 5775 6075 6237 7425 7875 8505 9625 10125 10395 12375 13365 14175 17325 18711 22275 23625 28875 30375 31185 37125 42525 51975 66825 70875 86625 93555 111375 155925 212625 259875 334125 467775 779625 2338875