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34242020 = 2253746273
BaseRepresentation
bin1000001010011…
…1110111100100
32101102200012222
42002213313210
532231221040
63221531512
7564023651
oct202476744
971380188
1034242020
111836859a
12b573b98
13712ba67
144794c28
153015bb5
hex20a7de4

34242020 has 24 divisors (see below), whose sum is σ = 73853304. Its totient is φ = 13326336.

The previous prime is 34242017. The next prime is 34242053. The reversal of 34242020 is 2024243.

34242020 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 + 27102436 = 2672^2 + 5206^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34242020.

It is an unprimeable number.

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, 22397 + ... + 23876.

It is an arithmetic number, because the mean of its divisors is an integer number (3077221).

Almost surely, 234242020 is an apocalyptic number.

It is an amenable number.

34242020 is an abundant number, since it is smaller than the sum of its proper divisors (39611284).

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

34242020 is a wasteful number, since it uses less digits than its factorization.

34242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46319 (or 46317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 34242020 is about 5851.6681382320. The cubic root of 34242020 is about 324.7280407332.

Adding to 34242020 its reverse (2024243), we get a palindrome (36266263).

The spelling of 34242020 in words is "thirty-four million, two hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 46273 92546 185092 231365 462730 925460 1712101 3424202 6848404 8560505 17121010 34242020