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303444 = 22328429
BaseRepresentation
bin1001010000101010100
3120102020200
41022011110
534202234
610300500
72402451
oct1120524
9512220
10303444
11197a89
12127730
13a816b
147c828
155ed99
hex4a154

303444 has 18 divisors (see below), whose sum is σ = 767130. Its totient is φ = 101136.

The previous prime is 303431. The next prime is 303463. The reversal of 303444 is 444303.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 90000 = 462^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3034442 = 184156522272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

303444 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4179 + ... + 4250.

2303444 is an apocalyptic number.

It is an amenable number.

303444 is an abundant number, since it is smaller than the sum of its proper divisors (463686).

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

303444 is a wasteful number, since it uses less digits than its factorization.

303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8439 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 303444 is about 550.8575133372. The cubic root of 303444 is about 67.1984906124.

Adding to 303444 its reverse (444303), we get a palindrome (747747).

It can be divided in two parts, 303 and 444, that added together give a palindrome (747).

The spelling of 303444 in words is "three hundred three thousand, four hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 8429 16858 25287 33716 50574 75861 101148 151722 303444