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4324416 = 263101223
BaseRepresentation
bin10000011111110001000000
322010200222120
4100133301000
52101340131
6232404240
751520425
oct20376100
98120876
104324416
112493aa8
121546680
13b85435
14807d4c
155a6496
hex41fc40

4324416 has 56 divisors (see below), whose sum is σ = 11606784. Its totient is φ = 1420800.

The previous prime is 4324399. The next prime is 4324417. The reversal of 4324416 is 6144234.

It is a Smith number, since the sum of its digits (24) 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 (24).

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 (4324417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19281 + ... + 19503.

It is an arithmetic number, because the mean of its divisors is an integer number (207264).

Almost surely, 24324416 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 4324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803392).

4324416 is an abundant number, since it is smaller than the sum of its proper divisors (7282368).

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

4324416 is a wasteful number, since it uses less digits than its factorization.

4324416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4324416 is about 2079.5230222337. The cubic root of 4324416 is about 162.9205328573.

The spelling of 4324416 in words is "four million, three hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 223 303 404 446 606 669 808 892 1212 1338 1616 1784 2424 2676 3232 3568 4848 5352 6464 7136 9696 10704 14272 19392 21408 22523 42816 45046 67569 90092 135138 180184 270276 360368 540552 720736 1081104 1441472 2162208 4324416