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16968312 = 2333174621
BaseRepresentation
bin100000010111…
…0101001111000
31011221002011000
41000232221320
513320441222
61403405000
7264141204
oct100565170
934832130
1016968312
11963a5a9
125823760
13369152a
142379b04
1517529ac
hex102ea78

16968312 has 64 divisors (see below), whose sum is σ = 49917600. Its totient is φ = 5322240.

The previous prime is 16968247. The next prime is 16968317. The reversal of 16968312 is 21386961.

It is a super-3 number, since 3×169683123 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16968317) 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 15 ways as a sum of consecutive naturals, for example, 1362 + ... + 5982.

Almost surely, 216968312 is an apocalyptic number.

16968312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16968312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24958800).

16968312 is an abundant number, since it is smaller than the sum of its proper divisors (32949288).

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

16968312 is a wasteful number, since it uses less digits than its factorization.

16968312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4643 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16968312 is about 4119.2610987894. The cubic root of 16968312 is about 256.9682974011.

The spelling of 16968312 in words is "sixteen million, nine hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 4621 9242 13863 18484 27726 36968 41589 55452 78557 83178 110904 124767 157114 166356 235671 249534 314228 332712 471342 499068 628456 707013 942684 998136 1414026 1885368 2121039 2828052 4242078 5656104 8484156 16968312