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34848 = 2532112
BaseRepresentation
bin1000100000100000
31202210200
420200200
52103343
6425200
7203412
oct104040
952720
1034848
1124200
1218200
1312b28
14c9b2
15a4d3
hex8820

34848 has 54 divisors (see below), whose sum is σ = 108927. Its totient is φ = 10560.

The previous prime is 34847. The next prime is 34849. The reversal of 34848 is 84843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (34847) and next prime (34849).

It can be written as a sum of positive squares in only one way, i.e., 17424 + 17424 = 132^2 + 132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=132.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3072) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34848.

It is not an unprimeable number, because it can be changed into a prime (34841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3163 + ... + 3173.

234848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34848

34848 is an abundant number, since it is smaller than the sum of its proper divisors (74079).

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

34848 is a wasteful number, since it uses less digits than its factorization.

34848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 16 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34848 is about 186.6761902332. The cubic root of 34848 is about 32.6632418086.

It can be divided in two parts, 3484 and 8, that multiplied together give a palindrome (27872).

The spelling of 34848 in words is "thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848