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4344928 = 257217163
BaseRepresentation
bin10000100100110001100000
322011202010021
4100210301200
52103014203
6233043224
751634300
oct20446140
98152107
104344928
1124a8455
121556514
13b91883
14811600
155ac5bd
hex424c60

4344928 has 72 divisors (see below), whose sum is σ = 10600632. Its totient is φ = 1741824.

The previous prime is 4344889. The next prime is 4344931. The reversal of 4344928 is 8294434.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4344893 and 4344902.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26575 + ... + 26737.

It is an arithmetic number, because the mean of its divisors is an integer number (147231).

Almost surely, 24344928 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 4344928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300316).

4344928 is an abundant number, since it is smaller than the sum of its proper divisors (6255704).

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

4344928 is a wasteful number, since it uses less digits than its factorization.

4344928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 4344928 is about 2084.4490878887. The cubic root of 4344928 is about 163.1777202701.

The spelling of 4344928 in words is "four million, three hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 163 196 224 238 272 326 392 476 544 652 784 833 952 1141 1304 1568 1666 1904 2282 2608 2771 3332 3808 4564 5216 5542 6664 7987 9128 11084 13328 15974 18256 19397 22168 26656 31948 36512 38794 44336 63896 77588 88672 127792 135779 155176 255584 271558 310352 543116 620704 1086232 2172464 4344928