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404134020 = 223252245189
BaseRepresentation
bin11000000101101…
…001100010000100
31001011110010122200
4120011221202010
51311424242040
6104033554500
713005040203
oct3005514204
91034403580
10404134020
11198139964
12b3415a30
136595b174
143b95d23a
152572d630
hex18169884

404134020 has 36 divisors (see below), whose sum is σ = 1225873740. Its totient is φ = 107769024.

The previous prime is 404133941. The next prime is 404134037. The reversal of 404134020 is 20431404.

It can be written as a sum of positive squares in 2 ways, for example, as 234457344 + 169676676 = 15312^2 + 13026^2 .

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

It is a super-2 number, since 2×4041340202 = 326648612242720800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 404133984 and 404134002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122415 + ... + 1122774.

Almost surely, 2404134020 is an apocalyptic number.

It is an amenable number.

404134020 is an abundant number, since it is smaller than the sum of its proper divisors (821739720).

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

404134020 is a wasteful number, since it uses less digits than its factorization.

404134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245204 (or 2245199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404134020 is about 20103.0848379049. The cubic root of 404134020 is about 739.3359150556.

Adding to 404134020 its reverse (20431404), we get a palindrome (424565424).

The spelling of 404134020 in words is "four hundred four million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2245189 4490378 6735567 8980756 11225945 13471134 20206701 22451890 26942268 33677835 40413402 44903780 67355670 80826804 101033505 134711340 202067010 404134020