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34037349 = 3173121529
BaseRepresentation
bin1000000111010…
…1111001100101
32101001021110120
42001311321211
532203143344
63213312153
7562212153
oct201657145
971037416
1034037349
1118238845
12b495659
137089858
1447403d3
152ec5219
hex2075e65

34037349 has 16 divisors (see below), whose sum is σ = 49605120. Its totient is φ = 20666880.

The previous prime is 34037327. The next prime is 34037431. The reversal of 34037349 is 94373043.

34037349 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 34037349 - 29 = 34036837 is a prime.

It is a super-2 number, since 2×340373492 = 2317082253895602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34039349) 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, 9184 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (3100320).

Almost surely, 234037349 is an apocalyptic number.

It is an amenable number.

34037349 is a deficient number, since it is larger than the sum of its proper divisors (15567771).

34037349 is a wasteful number, since it uses less digits than its factorization.

34037349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21580.

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 34037349 is about 5834.1536661284. The cubic root of 34037349 is about 324.0797605036.

The spelling of 34037349 in words is "thirty-four million, thirty-seven thousand, three hundred forty-nine".

Divisors: 1 3 17 31 51 93 527 1581 21529 64587 365993 667399 1097979 2002197 11345783 34037349