Search a number
-
+
4040400320 = 265111147841
BaseRepresentation
bin1111000011010011…
…1001110111000000
3101102120201121021022
43300310321313000
531233320302240
61504531445012
7202060556525
oct36064716700
911376647238
104040400320
111793778620
12949156768
134c50c8528
142a486d14c
15189aa59b5
hexf0d39dc0

4040400320 has 56 divisors (see below), whose sum is σ = 10495867248. Its totient is φ = 1469235200.

The previous prime is 4040400257. The next prime is 4040400349. The reversal of 4040400320 is 230040404.

4040400320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40404003202 = 32649669491712204800, which contains 22 as substring.

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, 570401 + ... + 577440.

Almost surely, 24040400320 is an apocalyptic number.

4040400320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040400320 is an abundant number, since it is smaller than the sum of its proper divisors (6455466928).

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

4040400320 is a wasteful number, since it uses less digits than its factorization.

4040400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147869 (or 1147859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4040400320 is about 63564.1433514210. The cubic root of 4040400320 is about 1592.7274521976.

Adding to 4040400320 its reverse (230040404), we get a palindrome (4270440724).

The spelling of 4040400320 in words is "four billion, forty million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 1147841 2295682 4591364 5739205 9182728 11478410 12626251 18365456 22956820 25252502 36730912 45913640 50505004 63131255 73461824 91827280 101010008 126262510 183654560 202020016 252525020 367309120 404040032 505050040 808080064 1010100080 2020200160 4040400320