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16347114 = 2327137947
BaseRepresentation
bin111110010110…
…111111101010
31010202112000200
4332112333222
513141101424
61342213030
7255643140
oct76267752
933675020
1016347114
119255913
125584176
133504864
142257590
15167d8c9
hexf96fea

16347114 has 48 divisors (see below), whose sum is σ = 40817088. Its totient is φ = 4631616.

The previous prime is 16347113. The next prime is 16347127. The reversal of 16347114 is 41174361.

It is a happy number.

It is a super-2 number, since 2×163471142 = 534456272257992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16347113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16789 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (850356).

Almost surely, 216347114 is an apocalyptic number.

16347114 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 16347114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408544).

16347114 is an abundant number, since it is smaller than the sum of its proper divisors (24469974).

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

16347114 is a wasteful number, since it uses less digits than its factorization.

16347114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1096 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 16347114 is about 4043.1564402086. The cubic root of 16347114 is about 253.7934232918.

It can be divided in two parts, 16347 and 114, that added together give a palindrome (16461).

The spelling of 16347114 in words is "sixteen million, three hundred forty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 947 959 1233 1894 1918 2466 2841 2877 5682 5754 6629 8523 8631 13258 17046 17262 19887 39774 59661 119322 129739 259478 389217 778434 908173 1167651 1816346 2335302 2724519 5449038 8173557 16347114