Search a number
-
+
404032 = 2659107
BaseRepresentation
bin1100010101001000000
3202112020011
41202221000
5100412112
612354304
73301636
oct1425100
9675204
10404032
11256612
12175994
13111b95
14a7356
157eaa7
hex62a40

404032 has 28 divisors (see below), whose sum is σ = 822960. Its totient is φ = 196736.

The previous prime is 404029. The next prime is 404051. The reversal of 404032 is 230404.

404032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3723 + ... + 3829.

2404032 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 404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480).

404032 is an abundant number, since it is smaller than the sum of its proper divisors (418928).

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

404032 is a wasteful number, since it uses less digits than its factorization.

404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 404032 is about 635.6351154554. The cubic root of 404032 is about 73.9273696918.

Adding to 404032 its reverse (230404), we get a palindrome (634436).

The spelling of 404032 in words is "four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 64 107 118 214 236 428 472 856 944 1712 1888 3424 3776 6313 6848 12626 25252 50504 101008 202016 404032