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4441320 = 2332513273
BaseRepresentation
bin10000111100010011101000
322100122100100
4100330103220
52114110240
6235105400
752515312
oct20742350
98318310
104441320
112563914
1215a2260
13bc6700
148387b2
155cae30
hex43c4e8

4441320 has 144 divisors (see below), whose sum is σ = 15844140. Its totient is φ = 1078272.

The previous prime is 4441313. The next prime is 4441351. The reversal of 4441320 is 231444.

It can be written as a sum of positive squares in 6 ways, for example, as 544644 + 3896676 = 738^2 + 1974^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4441293 and 4441302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60804 + ... + 60876.

Almost surely, 24441320 is an apocalyptic number.

4441320 is a gapful number since it is divisible by the number (40) 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 4441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922070).

4441320 is an abundant number, since it is smaller than the sum of its proper divisors (11402820).

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

4441320 is a wasteful number, since it uses less digits than its factorization.

4441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4441320 is about 2107.4439494326. The cubic root of 4441320 is about 164.3756015438.

Adding to 4441320 its reverse (231444), we get a palindrome (4672764).

It can be divided in two parts, 4441 and 320, that added together give a square (4761 = 692).

The spelling of 4441320 in words is "four million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 73 78 90 104 117 120 130 146 156 169 180 195 219 234 260 292 312 338 360 365 390 438 468 507 520 584 585 657 676 730 780 845 876 936 949 1014 1095 1170 1314 1352 1460 1521 1560 1690 1752 1898 2028 2190 2340 2535 2628 2847 2920 3042 3285 3380 3796 4056 4380 4680 4745 5070 5256 5694 6084 6570 6760 7592 7605 8541 8760 9490 10140 11388 12168 12337 13140 14235 15210 17082 18980 20280 22776 24674 26280 28470 30420 34164 37011 37960 42705 49348 56940 60840 61685 68328 74022 85410 98696 111033 113880 123370 148044 170820 185055 222066 246740 296088 341640 370110 444132 493480 555165 740220 888264 1110330 1480440 2220660 4441320