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370404 = 223210289
BaseRepresentation
bin1011010011011100100
3200211002200
41122123210
543323104
611534500
73101616
oct1323344
9624080
10370404
11233321
1215a430
13cc798
1498db6
1574b39
hex5a6e4

370404 has 18 divisors (see below), whose sum is σ = 936390. Its totient is φ = 123456.

The previous prime is 370399. The next prime is 370411. The reversal of 370404 is 404073.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 10404 = 600^2 + 102^2 .

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370404.

It is an unprimeable number.

370404 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, 5109 + ... + 5180.

2370404 is an apocalyptic number.

It is an amenable number.

370404 is an abundant number, since it is smaller than the sum of its proper divisors (565986).

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

370404 is a wasteful number, since it uses less digits than its factorization.

370404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10299 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 370404 is about 608.6082483831. The cubic root of 370404 is about 71.8166631872.

Adding to 370404 its reverse (404073), we get a palindrome (774477).

It can be divided in two parts, 3 and 70404, that added together give a palindrome (70407).

The spelling of 370404 in words is "three hundred seventy thousand, four hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 10289 20578 30867 41156 61734 92601 123468 185202 370404