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34400 = 255243
BaseRepresentation
bin1000011001100000
31202012002
420121200
52100100
6423132
7202202
oct103140
952162
1034400
1123933
1217aa8
1312872
14c772
15a2d5
hex8660

34400 has 36 divisors (see below), whose sum is σ = 85932. Its totient is φ = 13440.

The previous prime is 34381. The next prime is 34403. The reversal of 34400 is 443.

34400 is nontrivially palindromic in base 7.

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34403) by changing a digit.

34400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 779 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (2387).

234400 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 34400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966).

34400 is an abundant number, since it is smaller than the sum of its proper divisors (51532).

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

34400 is a wasteful number, since it uses less digits than its factorization.

34400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 34400 is about 185.4723699099. The cubic root of 34400 is about 32.5226666336.

Adding to 34400 its reverse (443), we get a palindrome (34843).

It can be divided in two parts, 34 and 400, that added together give a palindrome (434).

The spelling of 34400 in words is "thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 430 688 800 860 1075 1376 1720 2150 3440 4300 6880 8600 17200 34400