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34131377 = 712738393
BaseRepresentation
bin1000001000110…
…0110110110001
32101020001110002
42002030312301
532214201002
63215315345
7563053250
oct202146661
971201402
1034131377
11182a2455
12b51bb55
1370c05a7
144766797
152ee3002
hex208cdb1

34131377 has 8 divisors (see below), whose sum is σ = 39315456. Its totient is φ = 29024352.

The previous prime is 34131373. The next prime is 34131389. The reversal of 34131377 is 77313143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34131377 - 22 = 34131373 is a prime.

It is a super-2 number, since 2×341313772 = 2329901791832258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34131371) 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 7 ways as a sum of consecutive naturals, for example, 18308 + ... + 20085.

It is an arithmetic number, because the mean of its divisors is an integer number (4914432).

Almost surely, 234131377 is an apocalyptic number.

It is an amenable number.

34131377 is a deficient number, since it is larger than the sum of its proper divisors (5184079).

34131377 is a wasteful number, since it uses less digits than its factorization.

34131377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38527.

The product of its digits is 5292, while the sum is 29.

The square root of 34131377 is about 5842.2065180889. The cubic root of 34131377 is about 324.3779090130.

The spelling of 34131377 in words is "thirty-four million, one hundred thirty-one thousand, three hundred seventy-seven".

Divisors: 1 7 127 889 38393 268751 4875911 34131377