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16643034 = 23217137397
BaseRepresentation
bin111111011111…
…001111011010
31011022112221200
4333133033122
513230034114
61352415030
7261314652
oct77371732
934275850
1016643034
119438181
1256a7476
1335a9465
1422d3362
1516db409
hexfdf3da

16643034 has 48 divisors (see below), whose sum is σ = 38556648. Its totient is φ = 5170176.

The previous prime is 16643023. The next prime is 16643087. The reversal of 16643034 is 43034661.

16643034 is a `hidden beast` number, since 16 + 643 + 0 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16426809 + 216225 = 4053^2 + 465^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16642989 and 16643007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41724 + ... + 42120.

Almost surely, 216643034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16643034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278324).

16643034 is an abundant number, since it is smaller than the sum of its proper divisors (21913614).

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

16643034 is a wasteful number, since it uses less digits than its factorization.

16643034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 16643034 is about 4079.5874791454. The cubic root of 16643034 is about 255.3156874522.

Adding to 16643034 its reverse (43034661), we get a palindrome (59677695).

It can be divided in two parts, 166430 and 34, that added together give a square (166464 = 4082).

The spelling of 16643034 in words is "sixteen million, six hundred forty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 397 411 794 822 1191 1233 2329 2382 2466 3573 4658 6749 6987 7146 13498 13974 20247 20961 40494 41922 54389 60741 108778 121482 163167 326334 489501 924613 979002 1849226 2773839 5547678 8321517 16643034