Search a number
-
+
2434401040 = 24530430013
BaseRepresentation
bin1001000100011010…
…0000001100010000
320021122202101102111
42101012200030100
514441201313130
61041321355104
7114220032061
oct22106401420
96248671374
102434401040
11103a179595
1257b338a94
132ca471bb6
14191456568
15e3abe02a
hex911a0310

2434401040 has 20 divisors (see below), whose sum is σ = 5659982604. Its totient is φ = 973760384.

The previous prime is 2434401019. The next prime is 2434401041. The reversal of 2434401040 is 401044342.

It can be written as a sum of positive squares in 2 ways, for example, as 665020944 + 1769380096 = 25788^2 + 42064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2434401041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15214927 + ... + 15215086.

Almost surely, 22434401040 is an apocalyptic number.

2434401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434401040 is an abundant number, since it is smaller than the sum of its proper divisors (3225581564).

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

2434401040 is a wasteful number, since it uses less digits than its factorization.

2434401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30430026 (or 30430020 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2434401040 is about 49339.6497758142. The cubic root of 2434401040 is about 1345.2325740351.

Adding to 2434401040 its reverse (401044342), we get a palindrome (2835445382).

The spelling of 2434401040 in words is "two billion, four hundred thirty-four million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30430013 60860026 121720052 152150065 243440104 304300130 486880208 608600260 1217200520 2434401040