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34230024 = 2332475417
BaseRepresentation
bin1000001010010…
…0111100001000
32101102001202200
42002210330020
532230330044
63221400200
7563643663
oct202447410
971361680
1034230024
111835a584
12b569060
13712646a
1447906da
153012369
hex20a4f08

34230024 has 24 divisors (see below), whose sum is σ = 92706510. Its totient is φ = 11409984.

The previous prime is 34230017. The next prime is 34230029. The reversal of 34230024 is 42003243.

34230024 is a `hidden beast` number, since 342 + 300 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32832900 + 1397124 = 5730^2 + 1182^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34229979 and 34230006.

It is not an unprimeable number, because it can be changed into a prime (34230029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237637 + ... + 237780.

Almost surely, 234230024 is an apocalyptic number.

It is an amenable number.

34230024 is an abundant number, since it is smaller than the sum of its proper divisors (58476486).

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

34230024 is a wasteful number, since it uses less digits than its factorization.

34230024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475429 (or 475422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34230024 is about 5850.6430415810. The cubic root of 34230024 is about 324.6901156676.

Adding to 34230024 its reverse (42003243), we get a palindrome (76233267).

The spelling of 34230024 in words is "thirty-four million, two hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 475417 950834 1426251 1901668 2852502 3803336 4278753 5705004 8557506 11410008 17115012 34230024