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2434424032 = 2547234439
BaseRepresentation
bin1001000100011010…
…0101110011100000
320021122210112222001
42101012211303200
514441203032112
61041322053344
7114220156105
oct22106456340
96248715861
102434424032
11103a194897
1257b34a254
132ca47c4c1
14191460aac
15e3ac5c57
hex911a5ce0

2434424032 has 36 divisors (see below), whose sum is σ = 4897058040. Its totient is φ = 1191279296.

The previous prime is 2434423967. The next prime is 2434424087. The reversal of 2434424032 is 2304244342.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53469 + ... + 87907.

It is an arithmetic number, because the mean of its divisors is an integer number (136029390).

Almost surely, 22434424032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448529020).

2434424032 is an abundant number, since it is smaller than the sum of its proper divisors (2462634008).

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

2434424032 is an equidigital number, since it uses as much as digits as its factorization.

2434424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34543 (or 34488 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 2434424032 is about 49339.8827724590. The cubic root of 2434424032 is about 1345.2368090933.

Adding to 2434424032 its reverse (2304244342), we get a palindrome (4738668374).

The spelling of 2434424032 in words is "two billion, four hundred thirty-four million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 2209 4418 8836 17672 34439 35344 68878 70688 137756 275512 551024 1102048 1618633 3237266 6474532 12949064 25898128 51796256 76075751 152151502 304303004 608606008 1217212016 2434424032