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2401434040 = 235222127031
BaseRepresentation
bin1000111100100010…
…1111100110111000
320012100201111012111
42033020233212320
514404231342130
61034143022104
7113336565265
oct21710574670
96170644174
102401434040
111022601a35
1257029a934
132c369b5b5
1418ad1426c
15e0c5b02a
hex8f22f9b8

2401434040 has 32 divisors (see below), whose sum is σ = 5405859360. Its totient is φ = 960105600.

The previous prime is 2401434037. The next prime is 2401434041. The reversal of 2401434040 is 404341042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401434041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75325 + ... + 102355.

It is an arithmetic number, because the mean of its divisors is an integer number (168933105).

Almost surely, 22401434040 is an apocalyptic number.

2401434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401434040 is an abundant number, since it is smaller than the sum of its proper divisors (3004425320).

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

2401434040 is a wasteful number, since it uses less digits than its factorization.

2401434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29263 (or 29259 counting only the distinct ones).

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

The square root of 2401434040 is about 49004.4287794481. The cubic root of 2401434040 is about 1339.1325119663.

Adding to 2401434040 its reverse (404341042), we get a palindrome (2805775082).

The spelling of 2401434040 in words is "two billion, four hundred one million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 2221 4442 8884 11105 17768 22210 27031 44420 54062 88840 108124 135155 216248 270310 540620 1081240 60035851 120071702 240143404 300179255 480286808 600358510 1200717020 2401434040