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34242528 = 253356693
BaseRepresentation
bin1000001010011…
…1111111100000
32101102200220210
42002213333200
532231230103
63221534120
7564025305
oct202477740
971380823
1034242528
1118368a11
12b574340
13712c068
1447950ac
153015e03
hex20a7fe0

34242528 has 24 divisors (see below), whose sum is σ = 89886888. Its totient is φ = 11414144.

The previous prime is 34242517. The next prime is 34242529. The reversal of 34242528 is 82524243.

34242528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 34242495 and 34242504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242529) 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 3 ways as a sum of consecutive naturals, for example, 178251 + ... + 178442.

It is an arithmetic number, because the mean of its divisors is an integer number (3745287).

Almost surely, 234242528 is an apocalyptic number.

It is an amenable number.

34242528 is an abundant number, since it is smaller than the sum of its proper divisors (55644360).

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

34242528 is a wasteful number, since it uses less digits than its factorization.

34242528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356706 (or 356698 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 34242528 is about 5851.7115444970. The cubic root of 34242528 is about 324.7296465674.

The spelling of 34242528 in words is "thirty-four million, two hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 356693 713386 1070079 1426772 2140158 2853544 4280316 5707088 8560632 11414176 17121264 34242528