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6444240 = 2435112441
BaseRepresentation
bin11000100101010011010000
3110010101211120
4120211103100
53122203430
6350042240
7105526605
oct30452320
913111746
106444240
113701720
1221a9380
13144827a
14bda6ac
15874610
hex6254d0

6444240 has 80 divisors (see below), whose sum is σ = 21802176. Its totient is φ = 1561600.

The previous prime is 6444233. The next prime is 6444259. The reversal of 6444240 is 424446.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6444240.

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, 1420 + ... + 3860.

Almost surely, 26444240 is an apocalyptic number.

6444240 is a gapful number since it is divisible by the number (60) 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 6444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901088).

6444240 is an abundant number, since it is smaller than the sum of its proper divisors (15357936).

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

6444240 is a wasteful number, since it uses less digits than its factorization.

6444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6444240 is about 2538.5507676625. The cubic root of 6444240 is about 186.0903711615.

Adding to 6444240 its reverse (424446), we get a palindrome (6868686).

It can be divided in two parts, 644 and 4240, that added together give a palindrome (4884).

The spelling of 6444240 in words is "six million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2441 2640 4882 7323 9764 12205 14646 19528 24410 26851 29292 36615 39056 48820 53702 58584 73230 80553 97640 107404 117168 134255 146460 161106 195280 214808 268510 292920 322212 402765 429616 537020 585840 644424 805530 1074040 1288848 1611060 2148080 3222120 6444240