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3349829 = 73143359
BaseRepresentation
bin1100110001110101000101
320022012002202
430301311011
51324143304
6155444245
740321160
oct14616505
96265082
103349829
11198885a
121156685
13903962
14632ad7
1546281e
hex331d45

3349829 has 16 divisors (see below), whose sum is σ = 4055040. Its totient is φ = 2706480.

The previous prime is 3349817. The next prime is 3349847. The reversal of 3349829 is 9289433.

3349829 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 3349829 - 216 = 3284293 is a prime.

It is a super-2 number, since 2×33498292 = 22442708658482, 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 = 3349792 and 3349801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9152 + ... + 9510.

It is an arithmetic number, because the mean of its divisors is an integer number (253440).

Almost surely, 23349829 is an apocalyptic number.

It is an amenable number.

3349829 is a deficient number, since it is larger than the sum of its proper divisors (705211).

3349829 is a wasteful number, since it uses less digits than its factorization.

3349829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its digits is 46656, while the sum is 38.

The square root of 3349829 is about 1830.2538075360. The cubic root of 3349829 is about 149.6261653882.

The spelling of 3349829 in words is "three million, three hundred forty-nine thousand, eight hundred twenty-nine".

Divisors: 1 7 31 43 217 301 359 1333 2513 9331 11129 15437 77903 108059 478547 3349829