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34137054 = 23271715937
BaseRepresentation
bin1000001000111…
…0001111011110
32101020100020100
42002032033132
532214341204
63215401530
7563105640
oct202161736
971210210
1034137054
11182a6746
12b5232a6
1370c3053
144768890
152ee4a39
hex208e3de

34137054 has 48 divisors (see below), whose sum is σ = 89507808. Its totient is φ = 9179136.

The previous prime is 34137043. The next prime is 34137067. The reversal of 34137054 is 45073143.

34137054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5827 + ... + 10110.

It is an arithmetic number, because the mean of its divisors is an integer number (1864746).

Almost surely, 234137054 is an apocalyptic number.

34137054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34137054 is an abundant number, since it is smaller than the sum of its proper divisors (55370754).

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

34137054 is a wasteful number, since it uses less digits than its factorization.

34137054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15969 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34137054 is about 5842.6923588360. The cubic root of 34137054 is about 324.3958923806.

The spelling of 34137054 in words is "thirty-four million, one hundred thirty-seven thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 15937 31874 47811 95622 111559 143433 223118 270929 286866 334677 541858 669354 812787 1004031 1625574 1896503 2008062 2438361 3793006 4876722 5689509 11379018 17068527 34137054