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34804 = 22711113
BaseRepresentation
bin1000011111110100
31202202001
420133310
52103204
6425044
7203320
oct103764
952661
1034804
1124170
1218184
1312ac3
14c980
15a4a4
hex87f4

34804 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 13440.

The previous prime is 34781. The next prime is 34807. The reversal of 34804 is 40843.

34804 = 93 + 103 + ... + 193.

It is a super-2 number, since 2×348042 = 2422636832, which contains 22 as substring.

34804 is an undulating number in base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34807) by changing a digit.

34804 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

234804 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 34804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

34804 is an abundant number, since it is smaller than the sum of its proper divisors (41804).

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

34804 is a wasteful number, since it uses less digits than its factorization.

34804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34804 is about 186.5583018791. The cubic root of 34804 is about 32.6494888630.

It can be divided in two parts, 34 and 804, that added together give a palindrome (838).

The spelling of 34804 in words is "thirty-four thousand, eight hundred four".