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4143328 = 25753349
BaseRepresentation
bin1111110011100011100000
321210111120121
433303203200
52030041303
6224450024
750134450
oct17634340
97714517
104143328
11237aa42
121479914
13b20b97
1479bd60
1556c9bd
hex3f38e0

4143328 has 48 divisors (see below), whose sum is σ = 9525600. Its totient is φ = 1737216.

The previous prime is 4143301. The next prime is 4143329. The reversal of 4143328 is 8233414.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143329) 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, 11698 + ... + 12046.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 24143328 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 4143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762800).

4143328 is an abundant number, since it is smaller than the sum of its proper divisors (5382272).

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

4143328 is a wasteful number, since it uses less digits than its factorization.

4143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 4143328 is about 2035.5166420346. The cubic root of 4143328 is about 160.6138915945.

The spelling of 4143328 in words is "four million, one hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 349 371 424 698 742 848 1396 1484 1696 2443 2792 2968 4886 5584 5936 9772 11168 11872 18497 19544 36994 39088 73988 78176 129479 147976 258958 295952 517916 591904 1035832 2071664 4143328