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16693344 = 25331392
BaseRepresentation
bin111111101011…
…100001100000
31011102002222000
4333223201200
513233141334
61353444000
7261614433
oct77534140
934362860
1016693344
119471a58
125710600
1335c6325
14230781a
1516eb299
hexfeb860

16693344 has 72 divisors (see below), whose sum is σ = 49041720. Its totient is φ = 5524416.

The previous prime is 16693301. The next prime is 16693349. The reversal of 16693344 is 44339661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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.

Its product of digits (46656) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 16693299 and 16693308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16693349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 120027 + ... + 120165.

It is an arithmetic number, because the mean of its divisors is an integer number (681135).

Almost surely, 216693344 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 16693344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24520860).

16693344 is an abundant number, since it is smaller than the sum of its proper divisors (32348376).

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

16693344 is an equidigital number, since it uses as much as digits as its factorization.

16693344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 144 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 16693344 is about 4085.7488909623. The cubic root of 16693344 is about 255.5726920946.

The spelling of 16693344 in words is "sixteen million, six hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 834 864 1112 1251 1668 2224 2502 3336 3753 4448 5004 6672 7506 10008 13344 15012 19321 20016 30024 38642 40032 57963 60048 77284 115926 120096 154568 173889 231852 309136 347778 463704 521667 618272 695556 927408 1043334 1391112 1854816 2086668 2782224 4173336 5564448 8346672 16693344