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3943368 = 23321113383
BaseRepresentation
bin1111000010101111001000
321102100021200
433002233020
52002141433
6220304200
745342462
oct17025710
97370250
103943368
112253790
1213a2060
13a80b70
14749132
1552d613
hex3c2bc8

3943368 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1100160.

The previous prime is 3943367. The next prime is 3943397. The reversal of 3943368 is 8633493.

3943368 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (3943367) 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 23 ways as a sum of consecutive naturals, for example, 10105 + ... + 10487.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 23943368 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 3943368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3943368 is an abundant number, since it is smaller than the sum of its proper divisors (8636472).

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

3943368 is a wasteful number, since it uses less digits than its factorization.

3943368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

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

The square root of 3943368 is about 1985.7915298440. The cubic root of 3943368 is about 157.9873941767.

The spelling of 3943368 in words is "three million, nine hundred forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 383 396 429 468 572 766 792 858 936 1144 1149 1287 1532 1716 2298 2574 3064 3432 3447 4213 4596 4979 5148 6894 8426 9192 9958 10296 12639 13788 14937 16852 19916 25278 27576 29874 33704 37917 39832 44811 50556 54769 59748 75834 89622 101112 109538 119496 151668 164307 179244 219076 303336 328614 358488 438152 492921 657228 985842 1314456 1971684 3943368