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4338828 = 22321373127
BaseRepresentation
bin10000100011010010001100
322011102202100
4100203102030
52102320303
6232555100
751610434
oct20432214
98142670
104338828
1124a390a
121552a90
13b8bb70
1480d2c4
155aa8a3
hex42348c

4338828 has 72 divisors (see below), whose sum is σ = 12067328. Its totient is φ = 1306368.

The previous prime is 4338823. The next prime is 4338847. The reversal of 4338828 is 8288334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 44 + 39 + 310 + 85 + 85 + 221 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 4338792 and 4338801.

It is not an unprimeable number, because it can be changed into a prime (4338823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34101 + ... + 34227.

Almost surely, 24338828 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 4338828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033664).

4338828 is an abundant number, since it is smaller than the sum of its proper divisors (7728500).

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

4338828 is a wasteful number, since it uses less digits than its factorization.

4338828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4338828 is about 2082.9853576058. The cubic root of 4338828 is about 163.1013208241.

It can be divided in two parts, 433 and 8828, that added together give a cube (9261 = 213).

The spelling of 4338828 in words is "four million, three hundred thirty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 127 146 156 219 234 254 292 381 438 468 508 657 762 876 949 1143 1314 1524 1651 1898 2286 2628 2847 3302 3796 4572 4953 5694 6604 8541 9271 9906 11388 14859 17082 18542 19812 27813 29718 34164 37084 55626 59436 83439 111252 120523 166878 241046 333756 361569 482092 723138 1084707 1446276 2169414 4338828