Search a number
-
+
378640404 = 223210517789
BaseRepresentation
bin10110100100011…
…001100000010100
3222101110220222200
4112210121200110
51233412443104
6101323324500
712245250612
oct2644314024
9871426880
10378640404
1118480715a
12a6980730
13605a339c
14384046b2
1523394b39
hex16919814

378640404 has 18 divisors (see below), whose sum is σ = 957118890. Its totient is φ = 126213456.

The previous prime is 378640391. The next prime is 378640411. The reversal of 378640404 is 404046873.

378640404 is a `hidden beast` number, since 3 + 7 + 8 + 640 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 378380304 + 260100 = 19452^2 + 510^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10517789 = 378640404 / (3 + 7 + 8 + 6 + 4 + 0 + 4 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5258859 + ... + 5258930.

Almost surely, 2378640404 is an apocalyptic number.

It is an amenable number.

378640404 is an abundant number, since it is smaller than the sum of its proper divisors (578478486).

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

378640404 is a wasteful number, since it uses less digits than its factorization.

378640404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517799 (or 10517794 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 378640404 is about 19458.6845393002. The cubic root of 378640404 is about 723.4507728835.

The spelling of 378640404 in words is "three hundred seventy-eight million, six hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 10517789 21035578 31553367 42071156 63106734 94660101 126213468 189320202 378640404