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404316 = 2232111021
BaseRepresentation
bin1100010101101011100
3202112121200
41202231130
5100414231
612355500
73302523
oct1425534
9675550
10404316
11256850
12175b90
13112053
14a74ba
157ebe6
hex62b5c

404316 has 36 divisors (see below), whose sum is σ = 1116024. Its totient is φ = 122400.

The previous prime is 404309. The next prime is 404321. The reversal of 404316 is 613404.

It is a tau number, because it is divible by the number of its divisors (36).

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.

404316 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 11 ways as a sum of consecutive naturals, for example, 115 + ... + 906.

2404316 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 404316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558012).

404316 is an abundant number, since it is smaller than the sum of its proper divisors (711708).

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

404316 is a wasteful number, since it uses less digits than its factorization.

404316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 404316 is about 635.8584748197. The cubic root of 404316 is about 73.9446871779.

It can be divided in two parts, 40 and 4316, that added together give a square (4356 = 662).

The spelling of 404316 in words is "four hundred four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1021 2042 3063 4084 6126 9189 11231 12252 18378 22462 33693 36756 44924 67386 101079 134772 202158 404316