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8300349 = 32922261
BaseRepresentation
bin11111101010011100111101
3120121200221100
4133222130331
54111102344
6453523313
7130360161
oct37523475
916550840
108300349
11475a1a2
122943539
131948065
141160ca1
15ade569
hex7ea73d

8300349 has 6 divisors (see below), whose sum is σ = 11989406. Its totient is φ = 5533560.

The previous prime is 8300323. The next prime is 8300353. The reversal of 8300349 is 9430038.

8300349 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4995225 + 3305124 = 2235^2 + 1818^2 .

It is not a de Polignac number, because 8300349 - 25 = 8300317 is a prime.

It is a Duffinian number.

8300349 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8300389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461122 + ... + 461139.

Almost surely, 28300349 is an apocalyptic number.

It is an amenable number.

8300349 is a deficient number, since it is larger than the sum of its proper divisors (3689057).

8300349 is a wasteful number, since it uses less digits than its factorization.

8300349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922267 (or 922264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8300349 is about 2881.0326273751. The cubic root of 8300349 is about 202.4722229847.

It can be divided in two parts, 8300 and 349, that added together give a square (8649 = 932).

The spelling of 8300349 in words is "eight million, three hundred thousand, three hundred forty-nine".

Divisors: 1 3 9 922261 2766783 8300349