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34820 = 2251741
BaseRepresentation
bin1000100000000100
31202202122
420200010
52103240
6425112
7203342
oct104004
952678
1034820
1124185
1218198
1312b06
14c992
15a4b5
hex8804

34820 has 12 divisors (see below), whose sum is σ = 73164. Its totient is φ = 13920.

The previous prime is 34819. The next prime is 34841. The reversal of 34820 is 2843.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 30976 = 62^2 + 176^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34820.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 851 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (6097).

234820 is an apocalyptic number.

It is an amenable number.

34820 is an abundant number, since it is smaller than the sum of its proper divisors (38344).

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 (36582).

34820 is a wasteful number, since it uses less digits than its factorization.

34820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34820 is about 186.6011789888. The cubic root of 34820 is about 32.6544912745.

The spelling of 34820 in words is "thirty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1741 3482 6964 8705 17410 34820