Search a number
-
+
1321423440 = 243541134291
BaseRepresentation
bin100111011000011…
…0101001001010000
310102002111021011220
41032300311021100
510201241022230
6335042405040
744513625321
oct11660651120
93362437156
101321423440
116189aaa97
1230a660780
131809c927c
14c76da448
157b022d10
hex4ec35250

1321423440 has 80 divisors (see below), whose sum is σ = 4196356416. Its totient is φ = 343782400.

The previous prime is 1321423429. The next prime is 1321423487. The reversal of 1321423440 is 443241231.

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 1321423440.

It is a congruent number.

It is an unprimeable number.

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, 57306 + ... + 76985.

Almost surely, 21321423440 is an apocalyptic number.

1321423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321423440 is an abundant number, since it is smaller than the sum of its proper divisors (2874932976).

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

1321423440 is a wasteful number, since it uses less digits than its factorization.

1321423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134348 (or 134342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1321423440 is about 36351.3884191512. The cubic root of 1321423440 is about 1097.3554765649.

Adding to 1321423440 its reverse (443241231), we get a palindrome (1764664671).

The spelling of 1321423440 in words is "one billion, three hundred twenty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 134291 268582 402873 537164 671455 805746 1074328 1342910 1611492 2014365 2148656 2685820 3222984 4028730 5371640 5505931 6445968 8057460 10743280 11011862 16114920 16517793 22023724 27529655 32229840 33035586 44047448 55059310 66071172 82588965 88094896 110118620 132142344 165177930 220237240 264284688 330355860 440474480 660711720 1321423440