Search a number
BaseRepresentation
bin11000000101001…
…000110100010000
31001011012022211120
4120011020310100
51311411000031
6104031042240
713003641420
oct3005106420
91034168746
10404000016
11198058212
12b3370380
1365912184
143b926480
1525703a96
hex18148d10

404000016 has 80 divisors (see below), whose sum is σ = 1196840064. Its totient is φ = 115034112.

The previous prime is 403999993. The next prime is 404000033. The reversal of 404000016 is 610000404.

It is a junction number, because it is equal to n+sod(n) for n = 403999959 and 404000004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104616 + ... + 108408.

Almost surely, 2404000016 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 404000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598420032).

404000016 is an abundant number, since it is smaller than the sum of its proper divisors (792840048).

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

404000016 is a wasteful number, since it uses less digits than its factorization.

404000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 404000016 is about 20099.7516402567. The cubic root of 404000016 is about 739.2541889305.

The spelling of 404000016 in words is "four hundred four million, sixteen", and thus it is an aban number.