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4397328 = 24361329
BaseRepresentation
bin10000110001100100010000
322021102000000
4100301210100
52111203303
6234130000
752243125
oct20614420
98242000
104397328
112533861
121580900
13bac690
1482674c
155bcda3
hex431910

4397328 has 140 divisors (see below), whose sum is σ = 14230860. Its totient is φ = 1306368.

The previous prime is 4397311. The next prime is 4397353. The reversal of 4397328 is 8237934.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 2985984 = 1188^2 + 1728^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4397292 and 4397301.

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 27 ways as a sum of consecutive naturals, for example, 151618 + ... + 151646.

It is an arithmetic number, because the mean of its divisors is an integer number (101649).

Almost surely, 24397328 is an apocalyptic number.

4397328 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 4397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115430).

4397328 is an abundant number, since it is smaller than the sum of its proper divisors (9833532).

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

4397328 is a wasteful number, since it uses less digits than its factorization.

4397328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4397328 is about 2096.9806866063. The cubic root of 4397328 is about 163.8310773059.

Subtracting 4397328 from its reverse (8237934), we obtain a triangular number (3840606 = T2771).

The spelling of 4397328 in words is "four million, three hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 81 87 104 108 116 117 144 156 162 174 208 216 232 234 243 261 312 324 348 351 377 432 464 468 486 522 624 648 696 702 729 754 783 936 972 1044 1053 1131 1296 1392 1404 1458 1508 1566 1872 1944 2088 2106 2262 2349 2808 2916 3016 3132 3159 3393 3888 4176 4212 4524 4698 5616 5832 6032 6264 6318 6786 7047 8424 9048 9396 9477 10179 11664 12528 12636 13572 14094 16848 18096 18792 18954 20358 21141 25272 27144 28188 30537 37584 37908 40716 42282 50544 54288 56376 61074 75816 81432 84564 91611 112752 122148 151632 162864 169128 183222 244296 274833 338256 366444 488592 549666 732888 1099332 1465776 2198664 4397328