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4331328 = 263171327
BaseRepresentation
bin10000100001011101000000
322011001110120
4100201131000
52102100303
6232500240
751546531
oct20413500
98131416
104331328
112499211
12154a680
13b88621
1480a688
155a8553
hex421740

4331328 has 56 divisors (see below), whose sum is σ = 12143232. Its totient is φ = 1357824.

The previous prime is 4331323. The next prime is 4331339. The reversal of 4331328 is 8231334.

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 a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4331298 and 4331307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601 + ... + 3927.

Almost surely, 24331328 is an apocalyptic number.

4331328 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 4331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071616).

4331328 is an abundant number, since it is smaller than the sum of its proper divisors (7811904).

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

4331328 is a wasteful number, since it uses less digits than its factorization.

4331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4331328 is about 2081.1842782416. The cubic root of 4331328 is about 163.0072888707.

The spelling of 4331328 in words is "four million, three hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1327 1632 2654 3264 3981 5308 7962 10616 15924 21232 22559 31848 42464 45118 63696 67677 84928 90236 127392 135354 180472 254784 270708 360944 541416 721888 1082832 1443776 2165664 4331328