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34248 = 2331427
BaseRepresentation
bin1000010111001000
31201222110
420113020
52043443
6422320
7201564
oct102710
951873
1034248
1123805
12179a0
1312786
14c6a4
15a233
hex85c8

34248 has 16 divisors (see below), whose sum is σ = 85680. Its totient is φ = 11408.

The previous prime is 34231. The next prime is 34253. The reversal of 34248 is 84243.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34248.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

234248 is an apocalyptic number.

It is an amenable number.

34248 is an abundant number, since it is smaller than the sum of its proper divisors (51432).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840).

34248 is a wasteful number, since it uses less digits than its factorization.

34248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34248 is about 185.0621517221. The cubic root of 34248 is about 32.4746943051.

It can be divided in two parts, 34 and 248, that added together give a palindrome (282).

The spelling of 34248 in words is "thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 1427 2854 4281 5708 8562 11416 17124 34248