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34875 = 325331
BaseRepresentation
bin1000100000111011
31202211200
420200323
52104000
6425243
7203451
oct104073
952750
1034875
1124225
1218223
1312b49
14c9d1
15a500
hex883b

34875 has 24 divisors (see below), whose sum is σ = 64896. Its totient is φ = 18000.

The previous prime is 34871. The next prime is 34877. The reversal of 34875 is 57843.

It is not a de Polignac number, because 34875 - 22 = 34871 is a prime.

34875 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (34871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110 + ... + 1140.

It is an arithmetic number, because the mean of its divisors is an integer number (2704).

234875 is an apocalyptic number.

34875 is a deficient number, since it is larger than the sum of its proper divisors (30021).

34875 is a wasteful number, since it uses less digits than its factorization.

34875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 34875 is about 186.7484939698. The cubic root of 34875 is about 32.6716753854.

It can be divided in two parts, 34 and 875, that added together give a palindrome (909).

The spelling of 34875 in words is "thirty-four thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 125 155 225 279 375 465 775 1125 1395 2325 3875 6975 11625 34875