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34005719 = 11329881
BaseRepresentation
bin1000000110111…
…0001011010111
32100222200002002
42001232023113
532201140334
63212505515
7562021016
oct201561327
970880062
1034005719
1118217000
12b47b29b
137078337
144732a7d
152ebab7e
hex206e2d7

34005719 has 16 divisors (see below), whose sum is σ = 38737440. Its totient is φ = 29814400.

The previous prime is 34005703. The next prime is 34005721. The reversal of 34005719 is 91750043.

34005719 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 34005719 - 24 = 34005703 is a prime.

It is a super-2 number, since 2×340057192 = 2312777849413922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34005691 and 34005700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005739) 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 15 ways as a sum of consecutive naturals, for example, 38159 + ... + 39039.

It is an arithmetic number, because the mean of its divisors is an integer number (2421090).

Almost surely, 234005719 is an apocalyptic number.

34005719 is a deficient number, since it is larger than the sum of its proper divisors (4731721).

34005719 is an equidigital number, since it uses as much as digits as its factorization.

34005719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 34005719 is about 5831.4422744292. The cubic root of 34005719 is about 323.9793431681.

It can be divided in two parts, 3400 and 5719, that added together give a palindrome (9119).

The spelling of 34005719 in words is "thirty-four million, five thousand, seven hundred nineteen".

Divisors: 1 11 29 121 319 881 1331 3509 9691 25549 38599 106601 281039 1172611 3091429 34005719