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34434457 = 37225153
BaseRepresentation
bin1000001101011…
…0110110011001
32101210110012021
42003112312121
532303400312
63230014441
7565455001
oct203266631
971713167
1034434457
111848a132
12b647421
137198525
144805001
153052c07
hex20d6d99

34434457 has 6 divisors (see below), whose sum is σ = 35391678. Its totient is φ = 33502464.

The previous prime is 34434451. The next prime is 34434461. The reversal of 34434457 is 75443443.

34434457 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 3 ways, for example, as 20214016 + 14220441 = 4496^2 + 3771^2 .

It is not a de Polignac number, because 34434457 - 27 = 34434329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34434451) 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 5 ways as a sum of consecutive naturals, for example, 11208 + ... + 13945.

It is an arithmetic number, because the mean of its divisors is an integer number (5898613).

Almost surely, 234434457 is an apocalyptic number.

34434457 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34434457 is a deficient number, since it is larger than the sum of its proper divisors (957221).

34434457 is an equidigital number, since it uses as much as digits as its factorization.

34434457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25227 (or 25190 counting only the distinct ones).

The product of its digits is 80640, while the sum is 34.

The square root of 34434457 is about 5868.0880191081. The cubic root of 34434457 is about 325.3352186196.

The spelling of 34434457 in words is "thirty-four million, four hundred thirty-four thousand, four hundred fifty-seven".

Divisors: 1 37 1369 25153 930661 34434457