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4240320 = 26357631
BaseRepresentation
bin10000001011001111000000
321222102121220
4100023033000
52041142240
6230515040
751020310
oct20131700
97872556
104240320
1124368a7
121505a80
13b56086
147c5440
1558b5d0
hex40b3c0

4240320 has 112 divisors (see below), whose sum is σ = 15410688. Its totient is φ = 967680.

The previous prime is 4240319. The next prime is 4240381. The reversal of 4240320 is 230424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4240320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6405 + ... + 7035.

Almost surely, 24240320 is an apocalyptic number.

4240320 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 4240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705344).

4240320 is an abundant number, since it is smaller than the sum of its proper divisors (11170368).

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

4240320 is a wasteful number, since it uses less digits than its factorization.

4240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4240320 is about 2059.2037296004. The cubic root of 4240320 is about 161.8575183737.

Adding to 4240320 its reverse (230424), we get a palindrome (4470744).

It can be divided in two parts, 4240 and 320, that added together give a triangular number (4560 = T95).

The spelling of 4240320 in words is "four million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 631 672 840 960 1120 1262 1344 1680 1893 2240 2524 3155 3360 3786 4417 5048 6310 6720 7572 8834 9465 10096 12620 13251 15144 17668 18930 20192 22085 25240 26502 30288 35336 37860 40384 44170 50480 53004 60576 66255 70672 75720 88340 100960 106008 121152 132510 141344 151440 176680 201920 212016 265020 282688 302880 353360 424032 530040 605760 706720 848064 1060080 1413440 2120160 4240320