Search a number
-
+
1322440240 = 245114136653
BaseRepresentation
bin100111011010010…
…1101011000110000
310102011101220222011
41032310231120300
510202021041430
6335120252304
744525361622
oct11664553060
93364356864
101322440240
11619534a20
1230aa71094
13180c94024
14c78c2c12
157b17422a
hex4ed2d630

1322440240 has 80 divisors (see below), whose sum is σ = 3436092576. Its totient is φ = 469145600.

The previous prime is 1322440213. The next prime is 1322440247. The reversal of 1322440240 is 420442231.

It is a happy number.

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 (22).

It is not an unprimeable number, because it can be changed into a prime (1322440247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17754 + ... + 54406.

Almost surely, 21322440240 is an apocalyptic number.

1322440240 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 1322440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718046288).

1322440240 is an abundant number, since it is smaller than the sum of its proper divisors (2113652336).

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

1322440240 is a wasteful number, since it uses less digits than its factorization.

1322440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36718 (or 36712 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1322440240 is about 36365.3714404239. The cubic root of 1322440240 is about 1097.6368663013.

Adding to 1322440240 its reverse (420442231), we get a palindrome (1742882471).

The spelling of 1322440240 in words is "one billion, three hundred twenty-two million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 36080 36653 73306 146612 183265 293224 366530 403183 586448 733060 806366 1466120 1502773 1612732 2015915 2932240 3005546 3225464 4031830 6011092 6450928 7513865 8063660 12022184 15027730 16127320 16530503 24044368 30055460 32254640 33061006 60110920 66122012 82652515 120221840 132244024 165305030 264488048 330610060 661220120 1322440240