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34135349 = 292371097
BaseRepresentation
bin1000001000110…
…1110100110101
32101020020220012
42002031310311
532214312344
63215350005
7563100653
oct202156465
971206805
1034135349
11182a5436
12b522305
1370c2341
144767dd3
152ee429e
hex208dd35

34135349 has 12 divisors (see below), whose sum is σ = 36341604. Its totient is φ = 32038272.

The previous prime is 34135319. The next prime is 34135363. The reversal of 34135349 is 94353143.

It can be written as a sum of positive squares in 6 ways, for example, as 669124 + 33466225 = 818^2 + 5785^2 .

It is not a de Polignac number, because 34135349 - 216 = 34069813 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 (34135319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30569 + ... + 31665.

It is an arithmetic number, because the mean of its divisors is an integer number (3028467).

Almost surely, 234135349 is an apocalyptic number.

It is an amenable number.

34135349 is a deficient number, since it is larger than the sum of its proper divisors (2206255).

34135349 is a wasteful number, since it uses less digits than its factorization.

34135349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1163 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The square root of 34135349 is about 5842.5464482535. The cubic root of 34135349 is about 324.3904915611.

The spelling of 34135349 in words is "thirty-four million, one hundred thirty-five thousand, three hundred forty-nine".

Divisors: 1 29 37 841 1073 1097 31117 31813 40589 922577 1177081 34135349