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34036331 = 72694619
BaseRepresentation
bin1000000111010…
…1101001101011
32101001020001212
42001311221223
532203130311
63213303335
7562206200
oct201655153
971036055
1034036331
1118237aaa
12b494b4b
137089254
14473dca7
152ec4c8b
hex2075a6b

34036331 has 6 divisors (see below), whose sum is σ = 39593340. Its totient is φ = 29173956.

The previous prime is 34036283. The next prime is 34036339. The reversal of 34036331 is 13363043.

34036331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-34036331 is a prime.

It is a super-2 number, since 2×340363312 = 2316943655883122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34036297 and 34036306.

It is not an unprimeable number, because it can be changed into a prime (34036339) 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 5 ways as a sum of consecutive naturals, for example, 347261 + ... + 347358.

It is an arithmetic number, because the mean of its divisors is an integer number (6598890).

Almost surely, 234036331 is an apocalyptic number.

34036331 is a deficient number, since it is larger than the sum of its proper divisors (5557009).

34036331 is an equidigital number, since it uses as much as digits as its factorization.

34036331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694633 (or 694626 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 34036331 is about 5834.0664206024. The cubic root of 34036331 is about 324.0765295774.

Adding to 34036331 its reverse (13363043), we get a palindrome (47399374).

The spelling of 34036331 in words is "thirty-four million, thirty-six thousand, three hundred thirty-one".

Divisors: 1 7 49 694619 4862333 34036331