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16348668 = 22374147101
BaseRepresentation
bin111110010111…
…010111111100
31010202121011020
4332113113330
513141124133
61342224140
7255650520
oct76272774
933677136
1016348668
119256aa6
125585050
13350548b
142257d80
15167e0b3
hexf975fc

16348668 has 96 divisors (see below), whose sum is σ = 46061568. Its totient is φ = 4416000.

The previous prime is 16348667. The next prime is 16348681. The reversal of 16348668 is 86684361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16348667) 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 31 ways as a sum of consecutive naturals, for example, 161818 + ... + 161918.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 216348668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16348668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030784).

16348668 is an abundant number, since it is smaller than the sum of its proper divisors (29712900).

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

16348668 is a wasteful number, since it uses less digits than its factorization.

16348668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 16348668 is about 4043.3486122272. The cubic root of 16348668 is about 253.8014651289.

The spelling of 16348668 in words is "sixteen million, three hundred forty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 47 82 84 94 101 123 141 164 188 202 246 282 287 303 329 404 492 564 574 606 658 707 861 987 1148 1212 1316 1414 1722 1927 1974 2121 2828 3444 3854 3948 4141 4242 4747 5781 7708 8282 8484 9494 11562 12423 13489 14241 16564 18988 23124 24846 26978 28482 28987 33229 40467 49692 53956 56964 57974 66458 80934 86961 99687 115948 132916 161868 173922 194627 199374 347844 389254 398748 583881 778508 1167762 1362389 2335524 2724778 4087167 5449556 8174334 16348668