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444340440 = 233253473557
BaseRepresentation
bin11010011111000…
…001100011011000
31010222002211111100
4122133001203120
51402222343230
6112031431400
714003555115
oct3237014330
91128084440
10444340440
11208900605
12104985560
137109794b
144302790c
1529021660
hex1a7c18d8

444340440 has 96 divisors (see below), whose sum is σ = 1448675280. Its totient is φ = 118116096.

The previous prime is 444340439. The next prime is 444340447. The reversal of 444340440 is 44043444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444340447) 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, 123142 + ... + 126698.

Almost surely, 2444340440 is an apocalyptic number.

444340440 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 444340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724337640).

444340440 is an abundant number, since it is smaller than the sum of its proper divisors (1004334840).

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

444340440 is a wasteful number, since it uses less digits than its factorization.

444340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 444340440 is about 21079.3842414811. The cubic root of 444340440 is about 763.0832960405.

Adding to 444340440 its reverse (44043444), we get a palindrome (488383884).

It can be divided in two parts, 4443404 and 40, that added together give a palindrome (4443444).

The spelling of 444340440 in words is "four hundred forty-four million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 347 360 694 1041 1388 1735 2082 2776 3123 3470 3557 4164 5205 6246 6940 7114 8328 10410 10671 12492 13880 14228 15615 17785 20820 21342 24984 28456 31230 32013 35570 41640 42684 53355 62460 64026 71140 85368 106710 124920 128052 142280 160065 213420 256104 320130 426840 640260 1234279 1280520 2468558 3702837 4937116 6171395 7405674 9874232 11108511 12342790 14811348 18514185 22217022 24685580 29622696 37028370 44434044 49371160 55542555 74056740 88868088 111085110 148113480 222170220 444340440