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303144 = 23317743
BaseRepresentation
bin1001010000000101000
3120101211120
41022000220
534200034
610255240
72401542
oct1120050
9511746
10303144
11197836
12127520
13a7c9a
147c692
155ec49
hex4a028

303144 has 32 divisors (see below), whose sum is σ = 803520. Its totient is φ = 94976.

The previous prime is 303143. The next prime is 303151. The reversal of 303144 is 441303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303144.

It is not an unprimeable number, because it can be changed into a prime (303143) 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 7 ways as a sum of consecutive naturals, for example, 37 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2303144 is an apocalyptic number.

303144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

303144 is an abundant number, since it is smaller than the sum of its proper divisors (500376).

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

303144 is a wasteful number, since it uses less digits than its factorization.

303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 303144 is about 550.5851432794. The cubic root of 303144 is about 67.1763380412.

Adding to 303144 its reverse (441303), we get a palindrome (744447).

The spelling of 303144 in words is "three hundred three thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 743 1486 2229 2972 4458 5944 8916 12631 17832 25262 37893 50524 75786 101048 151572 303144