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4234114304 = 2872337541
BaseRepresentation
bin1111110001011111…
…0111010100000000
3101221002020021220022
43330113313110000
532132413124204
61540051433012
7206632243400
oct37427672400
911832207808
104234114304
111883057822
129a1bb5768
135262915a4
142c2496800
1519babc5be
hexfc5f7500

4234114304 has 54 divisors (see below), whose sum is σ = 9831585834. Its totient is φ = 1814615040.

The previous prime is 4234114279. The next prime is 4234114309. The reversal of 4234114304 is 4034114324.

It can be written as a sum of positive squares in only one way, i.e., 3849954304 + 384160000 = 62048^2 + 19600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234114309) 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 5 ways as a sum of consecutive naturals, for example, 156227 + ... + 181314.

Almost surely, 24234114304 is an apocalyptic number.

It is an amenable number.

4234114304 is an abundant number, since it is smaller than the sum of its proper divisors (5597471530).

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

4234114304 is an equidigital number, since it uses as much as digits as its factorization.

4234114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337571 (or 337550 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4234114304 is about 65070.0722606023. The cubic root of 4234114304 is about 1617.7852048750.

Adding to 4234114304 its reverse (4034114324), we get a palindrome (8268228628).

The spelling of 4234114304 in words is "four billion, two hundred thirty-four million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 337541 675082 1350164 2362787 2700328 4725574 5400656 9451148 10801312 16539509 18902296 21602624 33079018 37804592 43205248 66158036 75609184 86410496 132316072 151218368 264632144 302436736 529264288 604873472 1058528576 2117057152 4234114304