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34087713 = 3111032961
BaseRepresentation
bin1000001000001…
…0001100100001
32101010211112220
42002002030201
532211301323
63214341253
7562512042
oct202021441
971124486
1034087713
1118272670
12b4ba829
1370a675a
1447548c9
152ed50e3
hex2082321

34087713 has 8 divisors (see below), whose sum is σ = 49582176. Its totient is φ = 20659200.

The previous prime is 34087699. The next prime is 34087733. The reversal of 34087713 is 31778043.

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

It is not a de Polignac number, because 34087713 - 26 = 34087649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 1032961 = 34087713 / (3 + 4 + 0 + 8 + 7 + 7 + 1 + 3).

It is not an unprimeable number, because it can be changed into a prime (34087733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516448 + ... + 516513.

It is an arithmetic number, because the mean of its divisors is an integer number (6197772).

Almost surely, 234087713 is an apocalyptic number.

34087713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34087713 is a deficient number, since it is larger than the sum of its proper divisors (15494463).

34087713 is a wasteful number, since it uses less digits than its factorization.

34087713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032975.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 34087713 is about 5838.4683779224. The cubic root of 34087713 is about 324.2395252893.

The spelling of 34087713 in words is "thirty-four million, eighty-seven thousand, seven hundred thirteen".

Divisors: 1 3 11 33 1032961 3098883 11362571 34087713