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311444 = 2273227
BaseRepresentation
bin1001100000010010100
3120211012222
41030002110
534431234
610401512
72435000
oct1140224
9524188
10311444
111a2aa1
12130298
13ab9b3
1481700
156242e
hex4c094

311444 has 24 divisors (see below), whose sum is σ = 638400. Its totient is φ = 132888.

The previous prime is 311419. The next prime is 311447. The reversal of 311444 is 444113.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311444.

It is not an unprimeable number, because it can be changed into a prime (311447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2311444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319200).

311444 is an abundant number, since it is smaller than the sum of its proper divisors (326956).

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

311444 is a wasteful number, since it uses less digits than its factorization.

311444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 311444 is about 558.0716799839. The cubic root of 311444 is about 67.7839161530.

Adding to 311444 its reverse (444113), we get a palindrome (755557).

The spelling of 311444 in words is "three hundred eleven thousand, four hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 14 28 49 98 196 227 343 454 686 908 1372 1589 3178 6356 11123 22246 44492 77861 155722 311444