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34300343 = 73119091
BaseRepresentation
bin1000001011011…
…0000110110111
32101112122020002
42002312012313
532240102333
63223101515
7564356000
oct202660667
971478202
1034300343
11183a83a0
12b5a189b
13714c47c
1447ac1a7
1530280e8
hex20b61b7

34300343 has 16 divisors (see below), whose sum is σ = 43641600. Its totient is φ = 26724600.

The previous prime is 34300327. The next prime is 34300349.

It is a happy number.

34300343 is nontrivially palindromic in base 10.

34300343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34300343 - 24 = 34300327 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34300349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773 + ... + 8318.

It is an arithmetic number, because the mean of its divisors is an integer number (2727600).

Almost surely, 234300343 is an apocalyptic number.

34300343 is a deficient number, since it is larger than the sum of its proper divisors (9341257).

34300343 is an equidigital number, since it uses as much as digits as its factorization.

34300343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 34300343 is about 5856.6494687663. The cubic root of 34300343 is about 324.9123013867.

It can be divided in two parts, 34300 and 343, that multiplied together give a square (11764900 = 34302).

The spelling of 34300343 in words is "thirty-four million, three hundred thousand, three hundred forty-three".

Divisors: 1 7 11 49 77 343 539 3773 9091 63637 100001 445459 700007 3118213 4900049 34300343