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53434000 = 245326717
BaseRepresentation
bin1100101111010…
…1011010010000
310201112201200001
43023311122100
5102134342000
65145135344
71216116154
oct313653220
9121481601
1053434000
1128186834
1215a8a554
13b0bb469
14714d064
154a5746a
hex32f5690

53434000 has 40 divisors (see below), whose sum is σ = 129208248. Its totient is φ = 21372800.

The previous prime is 53433997. The next prime is 53434001. The reversal of 53434000 is 43435.

53434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 46294416 = 2672^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (53434001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11359 + ... + 15358.

Almost surely, 253434000 is an apocalyptic number.

53434000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53434000 is an abundant number, since it is smaller than the sum of its proper divisors (75774248).

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

53434000 is a wasteful number, since it uses less digits than its factorization.

53434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26740 (or 26724 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 53434000 is about 7309.8563597379. The cubic root of 53434000 is about 376.6510901052.

Adding to 53434000 its reverse (43435), we get a palindrome (53477435).

The spelling of 53434000 in words is "fifty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 26717 53434 106868 133585 213736 267170 427472 534340 667925 1068680 1335850 2137360 2671700 3339625 5343400 6679250 10686800 13358500 26717000 53434000