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16311834 = 2337113923
BaseRepresentation
bin111110001110…
…011000011010
31010200201122000
4332032120122
513133434314
61341341430
7255435240
oct76163032
933621560
1016311834
119231360
125567876
1334c1796
142248790
151673209
hexf8e61a

16311834 has 64 divisors (see below), whose sum is σ = 45204480. Its totient is φ = 4235760.

The previous prime is 16311821. The next prime is 16311851. The reversal of 16311834 is 43811361.

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

It is a junction number, because it is equal to n+sod(n) for n = 16311798 and 16311807.

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 31 ways as a sum of consecutive naturals, for example, 2197 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (706320).

Almost surely, 216311834 is an apocalyptic number.

16311834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16311834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22602240).

16311834 is an abundant number, since it is smaller than the sum of its proper divisors (28892646).

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

16311834 is a wasteful number, since it uses less digits than its factorization.

16311834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3946 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 16311834 is about 4038.7911557792. The cubic root of 16311834 is about 253.6107145675.

The spelling of 16311834 in words is "sixteen million, three hundred eleven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 3923 4158 7846 11769 23538 27461 35307 43153 54922 70614 82383 86306 105921 129459 164766 211842 247149 258918 302071 388377 494298 604142 741447 776754 906213 1165131 1482894 1812426 2330262 2718639 5437278 8155917 16311834