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2431234304 = 2829332413
BaseRepresentation
bin1001000011101001…
…1011000100000000
320021102210111110222
42100322123010000
514434343444204
61041125442212
7114151102442
oct22072330400
96242714428
102431234304
111038406354
1257a270368
132c99036a5
14190c70492
15e3695abe
hex90e9b100

2431234304 has 36 divisors (see below), whose sum is σ = 4869684876. Its totient is φ = 1211430912.

The previous prime is 2431234291. The next prime is 2431234321. The reversal of 2431234304 is 4034321342.

It can be written as a sum of positive squares in 2 ways, for example, as 2261192704 + 170041600 = 47552^2 + 13040^2 .

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 3 ways as a sum of consecutive naturals, for example, 58802 + ... + 91214.

Almost surely, 22431234304 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 2431234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434842438).

2431234304 is an abundant number, since it is smaller than the sum of its proper divisors (2438450572).

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

2431234304 is an equidigital number, since it uses as much as digits as its factorization.

2431234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32722 (or 32708 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2431234304 is about 49307.5481442750. The cubic root of 2431234304 is about 1344.6490157169.

Adding to 2431234304 its reverse (4034321342), we get a palindrome (6465555646).

The spelling of 2431234304 in words is "two billion, four hundred thirty-one million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 293 586 1172 2344 4688 9376 18752 32413 37504 64826 75008 129652 259304 518608 1037216 2074432 4148864 8297728 9497009 18994018 37988036 75976072 151952144 303904288 607808576 1215617152 2431234304