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4322016 = 253243349
BaseRepresentation
bin10000011111001011100000
322010120200200
4100133023200
52101301031
6232345200
751510426
oct20371340
98116620
104322016
112492216
121545200
13b8430a
14807116
155a58e6
hex41f2e0

4322016 has 72 divisors (see below), whose sum is σ = 12612600. Its totient is φ = 1403136.

The previous prime is 4322009. The next prime is 4322027. The reversal of 4322016 is 6102234.

It is a happy number.

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 (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4322016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12210 + ... + 12558.

It is an arithmetic number, because the mean of its divisors is an integer number (175175).

Almost surely, 24322016 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 4322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306300).

4322016 is an abundant number, since it is smaller than the sum of its proper divisors (8290584).

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

4322016 is a wasteful number, since it uses less digits than its factorization.

4322016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4322016 is about 2078.9458867416. The cubic root of 4322016 is about 162.8903876202.

The spelling of 4322016 in words is "four million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 349 387 516 688 698 774 1032 1047 1376 1396 1548 2064 2094 2792 3096 3141 4128 4188 5584 6192 6282 8376 11168 12384 12564 15007 16752 25128 30014 33504 45021 50256 60028 90042 100512 120056 135063 180084 240112 270126 360168 480224 540252 720336 1080504 1440672 2161008 4322016