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16834149 = 343741137
BaseRepresentation
bin100000000110…
…1111001100101
31011200021010000
41000031321211
513302143044
61400451513
7263042103
oct100157145
934607100
1016834149
119558822
125779b99
133645447
142342c73
151727d69
hex100de65

16834149 has 40 divisors (see below), whose sum is σ = 26650008. Its totient is φ = 10575360.

The previous prime is 16834141. The next prime is 16834159. The reversal of 16834149 is 94143861.

It can be written as a sum of positive squares in 4 ways, for example, as 2340900 + 14493249 = 1530^2 + 3807^2 .

It is not a de Polignac number, because 16834149 - 23 = 16834141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16834141) 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 39 ways as a sum of consecutive naturals, for example, 122809 + ... + 122945.

Almost surely, 216834149 is an apocalyptic number.

It is an amenable number.

16834149 is a deficient number, since it is larger than the sum of its proper divisors (9815859).

16834149 is a wasteful number, since it uses less digits than its factorization.

16834149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16834149 is about 4102.9439430731. The cubic root of 16834149 is about 256.2892492725.

It can be divided in two parts, 1683 and 4149, that added together give a cube (5832 = 183).

The spelling of 16834149 in words is "sixteen million, eight hundred thirty-four thousand, one hundred forty-nine".

Divisors: 1 3 9 27 37 41 81 111 123 137 333 369 411 999 1107 1233 1517 2997 3321 3699 4551 5069 5617 11097 13653 15207 16851 40959 45621 50553 122877 136863 151659 207829 410589 454977 623487 1870461 5611383 16834149