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34331693 = 1121671699
BaseRepresentation
bin1000001011110…
…1110000101101
32101121020020012
42002331300231
532242103233
63223503005
7564546254
oct202756055
971536205
1034331693
1118419a00
12b5b7a65
137160816
1447b979b
153032548
hex20bdc2d

34331693 has 12 divisors (see below), whose sum is σ = 37984800. Its totient is φ = 31005480.

The previous prime is 34331683. The next prime is 34331743. The reversal of 34331693 is 39613343.

34331693 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 34331693 - 26 = 34331629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331623) 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 11 ways as a sum of consecutive naturals, for example, 19358 + ... + 21056.

It is an arithmetic number, because the mean of its divisors is an integer number (3165400).

Almost surely, 234331693 is an apocalyptic number.

It is an amenable number.

34331693 is a deficient number, since it is larger than the sum of its proper divisors (3653107).

34331693 is a wasteful number, since it uses less digits than its factorization.

34331693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its digits is 17496, while the sum is 32.

The square root of 34331693 is about 5859.3253024559. The cubic root of 34331693 is about 325.0112595705.

The spelling of 34331693 in words is "thirty-four million, three hundred thirty-one thousand, six hundred ninety-three".

Divisors: 1 11 121 167 1699 1837 18689 20207 205579 283733 3121063 34331693