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304400 = 2452761
BaseRepresentation
bin1001010010100010000
3120110120002
41022110100
534220100
610305132
72405315
oct1122420
9513502
10304400
11198778
121281a8
13a8725
147cd0c
15602d5
hex4a510

304400 has 30 divisors (see below), whose sum is σ = 732282. Its totient is φ = 121600.

The previous prime is 304393. The next prime is 304411. The reversal of 304400 is 4403.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 300304 = 64^2 + 548^2 .

It is a congruent number.

It is an unprimeable number.

304400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20 + ... + 780.

2304400 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 304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366141).

304400 is an abundant number, since it is smaller than the sum of its proper divisors (427882).

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

304400 is a wasteful number, since it uses less digits than its factorization.

304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 304400 is about 551.7245689653. The cubic root of 304400 is about 67.2689862231.

Adding to 304400 its reverse (4403), we get a palindrome (308803).

The spelling of 304400 in words is "three hundred four thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 761 1522 3044 3805 6088 7610 12176 15220 19025 30440 38050 60880 76100 152200 304400