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431103104 = 276155213
BaseRepresentation
bin11001101100100…
…001110010000000
31010001012022021122
4121230201302000
51340330244404
6110440011412
713453213235
oct3154416200
91101168248
10431103104
1120138a163
12100460b68
136b4116c3
144137d78c
1527ca93be
hex19b21c80

431103104 has 32 divisors (see below), whose sum is σ = 872933340. Its totient is φ = 212014080.

The previous prime is 431103097. The next prime is 431103121. The reversal of 431103104 is 401301134.

It can be written as a sum of positive squares in 2 ways, for example, as 406103104 + 25000000 = 20152^2 + 5000^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 19799 + ... + 35414.

Almost surely, 2431103104 is an apocalyptic number.

It is an amenable number.

431103104 is an abundant number, since it is smaller than the sum of its proper divisors (441830236).

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

431103104 is an equidigital number, since it uses as much as digits as its factorization.

431103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55288 (or 55276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 431103104 is about 20763.0225160019. The cubic root of 431103104 is about 755.4291109177.

Adding to 431103104 its reverse (401301134), we get a palindrome (832404238).

The spelling of 431103104 in words is "four hundred thirty-one million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 55213 110426 220852 441704 883408 1766816 3367993 3533632 6735986 7067264 13471972 26943944 53887888 107775776 215551552 431103104