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404144 = 24132967
BaseRepresentation
bin1100010101010110000
3202112101022
41202222300
5100413034
612355012
73302156
oct1425260
9675338
10404144
11256704
12175a68
13111c50
14a73d6
157eb2e
hex62ab0

404144 has 40 divisors (see below), whose sum is σ = 885360. Its totient is φ = 177408.

The previous prime is 404123. The next prime is 404161. The reversal of 404144 is 441404.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5999 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (22134).

2404144 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 404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442680).

404144 is an abundant number, since it is smaller than the sum of its proper divisors (481216).

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

404144 is a wasteful number, since it uses less digits than its factorization.

404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 404144 is about 635.7232102102. The cubic root of 404144 is about 73.9342000918.

Adding to 404144 its reverse (441404), we get a palindrome (845548).

The spelling of 404144 in words is "four hundred four thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 29 52 58 67 104 116 134 208 232 268 377 464 536 754 871 1072 1508 1742 1943 3016 3484 3886 6032 6968 7772 13936 15544 25259 31088 50518 101036 202072 404144