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34300 = 225273
BaseRepresentation
bin1000010111111100
31202001101
420113330
52044200
6422444
7202000
oct102774
952041
1034300
1123852
1217a24
13127c6
14c700
15a26a
hex85fc

34300 has 36 divisors (see below), whose sum is σ = 86800. Its totient is φ = 11760.

The previous prime is 34297. The next prime is 34301. The reversal of 34300 is 343.

Multipling 34300 by its sum of digits (10), we get a cube (343000 = 703).

Adding to 34300 its reverse (343), we get a palindrome (34643).

Multipling 34300 by its reverse (343), we get a square (11764900 = 34302).

34300 divided by its reverse (343) gives a square (100 = 102).

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 a Harshad number since it is a multiple of its sum of digits (10).

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 (34301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4897 + ... + 4903.

234300 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 34300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43400).

34300 is an abundant number, since it is smaller than the sum of its proper divisors (52500).

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

34300 is a wasteful number, since it uses less digits than its factorization.

34300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 34300 is about 185.2025917745. The cubic root of 34300 is about 32.4911218353.

The spelling of 34300 in words is "thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300