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4343328 = 253311457
BaseRepresentation
bin10000100100011000100000
322011122221000
4100210120200
52102441303
6233032000
751626523
oct20443040
98148830
104343328
1124a7230
121555600
13b90c22
14810bba
155abda3
hex424620

4343328 has 96 divisors (see below), whose sum is σ = 13849920. Its totient is φ = 1313280.

The previous prime is 4343327. The next prime is 4343329. The reversal of 4343328 is 8233434.

4343328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4343327) and next prime (4343329).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (4343321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9276 + ... + 9732.

It is an arithmetic number, because the mean of its divisors is an integer number (144270).

Almost surely, 24343328 is an apocalyptic number.

4343328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4343328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924960).

4343328 is an abundant number, since it is smaller than the sum of its proper divisors (9506592).

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

4343328 is a wasteful number, since it uses less digits than its factorization.

4343328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4343328 is about 2084.0652580953. The cubic root of 4343328 is about 163.1576879929.

The spelling of 4343328 in words is "four million, three hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 457 528 594 792 864 914 1056 1188 1371 1584 1828 2376 2742 3168 3656 4113 4752 5027 5484 7312 8226 9504 10054 10968 12339 14624 15081 16452 20108 21936 24678 30162 32904 40216 43872 45243 49356 60324 65808 80432 90486 98712 120648 131616 135729 160864 180972 197424 241296 271458 361944 394848 482592 542916 723888 1085832 1447776 2171664 4343328