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34138314 = 233790313
BaseRepresentation
bin1000001000111…
…0100011001010
32101020101222000
42002032203022
532214411224
63215411430
7563112420
oct202164312
971211860
1034138314
11182a7691
12b523b76
1370c37b2
144769110
152ee50c9
hex208e8ca

34138314 has 32 divisors (see below), whose sum is σ = 86701440. Its totient is φ = 9753696.

The previous prime is 34138301. The next prime is 34138319. The reversal of 34138314 is 41383143.

34138314 is a `hidden beast` number, since 341 + 3 + 8 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34138319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44779 + ... + 45534.

It is an arithmetic number, because the mean of its divisors is an integer number (2709420).

Almost surely, 234138314 is an apocalyptic number.

34138314 is an abundant number, since it is smaller than the sum of its proper divisors (52563126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34138314 is a wasteful number, since it uses less digits than its factorization.

34138314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90331 (or 90325 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34138314 is about 5842.8001848429. The cubic root of 34138314 is about 324.3998834865.

The spelling of 34138314 in words is "thirty-four million, one hundred thirty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 90313 180626 270939 541878 632191 812817 1264382 1625634 1896573 2438451 3793146 4876902 5689719 11379438 17069157 34138314