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34235424 = 2532118873
BaseRepresentation
bin1000001010011…
…0010000100000
32101102100011200
42002212100200
532231013144
63221441200
7563665506
oct202462040
971370150
1034235424
1118363643
12b570200
137128a62
144792676
153013c69
hex20a6420

34235424 has 36 divisors (see below), whose sum is σ = 97357806. Its totient is φ = 11411712.

The previous prime is 34235423. The next prime is 34235441. The reversal of 34235424 is 42453243.

34235424 is a `hidden beast` number, since 3 + 4 + 235 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26010000 + 8225424 = 5100^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (34235423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59149 + ... + 59724.

Almost surely, 234235424 is an apocalyptic number.

It is an amenable number.

34235424 is an abundant number, since it is smaller than the sum of its proper divisors (63122382).

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

34235424 is a wasteful number, since it uses less digits than its factorization.

34235424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118889 (or 118878 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 34235424 is about 5851.1045111158. The cubic root of 34235424 is about 324.7071887341.

Adding to 34235424 its reverse (42453243), we get a palindrome (76688667).

It can be divided in two parts, 342354 and 24, that added together give a triangular number (342378 = T827).

The spelling of 34235424 in words is "thirty-four million, two hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 118873 237746 356619 475492 713238 950984 1069857 1426476 1901968 2139714 2852952 3803936 4279428 5705904 8558856 11411808 17117712 34235424