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303368 = 23132917
BaseRepresentation
bin1001010000100001000
3120102010212
41022010020
534201433
610300252
72402312
oct1120410
9512125
10303368
11197a1a
12127688
13a8110
147c7b2
155ed48
hex4a108

303368 has 16 divisors (see below), whose sum is σ = 612780. Its totient is φ = 139968.

The previous prime is 303367. The next prime is 303371. The reversal of 303368 is 863303.

303368 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 2 ways, for example, as 293764 + 9604 = 542^2 + 98^2 .

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303368.

It is not an unprimeable number, because it can be changed into a prime (303361) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1355 + ... + 1562.

2303368 is an apocalyptic number.

It is an amenable number.

303368 is an abundant number, since it is smaller than the sum of its proper divisors (309412).

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

303368 is a wasteful number, since it uses less digits than its factorization.

303368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 303368 is about 550.7885256612. The cubic root of 303368 is about 67.1928800091.

The spelling of 303368 in words is "three hundred three thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 2917 5834 11668 23336 37921 75842 151684 303368