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34077329 = 1113223797
BaseRepresentation
bin1000000111111…
…1101010010001
32101010022022022
42001333222101
532210433304
63214221225
7562436546
oct201775221
971108268
1034077329
1118265890
12b4b4815
1370a1b00
144750bcd
152ed1ebe
hex207fa91

34077329 has 24 divisors (see below), whose sum is σ = 42057792. Its totient is φ = 27318720.

The previous prime is 34077319. The next prime is 34077331. The reversal of 34077329 is 92377043.

34077329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34077329 - 28 = 34077073 is a prime.

It is a super-2 number, since 2×340773292 = 2322528703548482, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34077319) 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 23 ways as a sum of consecutive naturals, for example, 42359 + ... + 43155.

It is an arithmetic number, because the mean of its divisors is an integer number (1752408).

Almost surely, 234077329 is an apocalyptic number.

It is an amenable number.

34077329 is a deficient number, since it is larger than the sum of its proper divisors (7980463).

34077329 is a wasteful number, since it uses less digits than its factorization.

34077329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 34077329 is about 5837.5790358675. The cubic root of 34077329 is about 324.2065980273.

The spelling of 34077329 in words is "thirty-four million, seventy-seven thousand, three hundred twenty-nine".

Divisors: 1 11 13 23 143 169 253 299 797 1859 3289 3887 8767 10361 18331 42757 113971 134693 201641 238303 1481623 2621333 3097939 34077329