Search a number
-
+
1444304320 = 26523613217
BaseRepresentation
bin101011000010110…
…0101010111000000
310201122201021001121
41112011211113000
510424220214240
6355152242024
750535245524
oct12605452700
93648637047
101444304320
116812aa238
12343840314
131a02c1554
14d9b65d84
1586be704a
hex561655c0

1444304320 has 112 divisors (see below), whose sum is σ = 3648748608. Its totient is φ = 543375360.

The previous prime is 1444304317. The next prime is 1444304321. The reversal of 1444304320 is 234034441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444304321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447352 + ... + 450568.

Almost surely, 21444304320 is an apocalyptic number.

1444304320 is a gapful number since it is divisible by the number (10) 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 1444304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824374304).

1444304320 is an abundant number, since it is smaller than the sum of its proper divisors (2204444288).

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

1444304320 is a wasteful number, since it uses less digits than its factorization.

1444304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1444304320 is about 38004.0039995788. The cubic root of 1444304320 is about 1130.3672599545.

Adding to 1444304320 its reverse (234034441), we get a palindrome (1678338761).

The spelling of 1444304320 in words is "one billion, four hundred forty-four million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 64 80 92 115 122 160 184 230 244 305 320 368 460 488 610 736 920 976 1220 1403 1472 1840 1952 2440 2806 3217 3680 3904 4880 5612 6434 7015 7360 9760 11224 12868 14030 16085 19520 22448 25736 28060 32170 44896 51472 56120 64340 73991 89792 102944 112240 128680 147982 196237 205888 224480 257360 295964 369955 392474 448960 514720 591928 739910 784948 981185 1029440 1183856 1479820 1569896 1962370 2367712 2959640 3139792 3924740 4513451 4735424 5919280 6279584 7849480 9026902 11838560 12559168 15698960 18053804 22567255 23677120 31397920 36107608 45134510 62795840 72215216 90269020 144430432 180538040 288860864 361076080 722152160 1444304320