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34130347 = 437383131
BaseRepresentation
bin1000001000110…
…0100110101011
32101020000000221
42002030212223
532214132342
63215310511
7563050246
oct202144653
971200027
1034130347
11182a16a9
12b51b437
1370bcc94
14476625d
152ee2a67
hex208c9ab

34130347 has 16 divisors (see below), whose sum is σ = 36102528. Its totient is φ = 32235840.

The previous prime is 34130333. The next prime is 34130353. The reversal of 34130347 is 74303143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34130347 - 27 = 34130219 is a prime.

It is a super-3 number, since 3×341303473 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34130377) 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, 260472 + ... + 260602.

It is an arithmetic number, because the mean of its divisors is an integer number (2256408).

Almost surely, 234130347 is an apocalyptic number.

34130347 is a deficient number, since it is larger than the sum of its proper divisors (1972181).

34130347 is a wasteful number, since it uses less digits than its factorization.

34130347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330.

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 34130347 is about 5842.1183657985. The cubic root of 34130347 is about 324.3746460075.

The spelling of 34130347 in words is "thirty-four million, one hundred thirty thousand, three hundred forty-seven".

Divisors: 1 43 73 83 131 3139 3569 5633 6059 9563 10873 260537 411209 467539 793729 34130347