Search a number
-
+
1323225240 = 2335431012539
BaseRepresentation
bin100111011011110…
…1101000010011000
310102012212210210020
41032313231002120
510202221201430
6335145150440
744535141351
oct11667550230
93365783706
101323225240
11619a20787
1230b18b420
131811aa41c
14c7a48d28
157b27bb10
hex4eded098

1323225240 has 128 divisors (see below), whose sum is σ = 4103827200. Its totient is φ = 341107200.

The previous prime is 1323225203. The next prime is 1323225269. The reversal of 1323225240 is 425223231.

1323225240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 1323225240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519891 + ... + 522429.

It is an arithmetic number, because the mean of its divisors is an integer number (32061150).

Almost surely, 21323225240 is an apocalyptic number.

1323225240 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 1323225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051913600).

1323225240 is an abundant number, since it is smaller than the sum of its proper divisors (2780601960).

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

1323225240 is a wasteful number, since it uses less digits than its factorization.

1323225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1323225240 is about 36376.1630741891. The cubic root of 1323225240 is about 1097.8540089440.

Adding to 1323225240 its reverse (425223231), we get a palindrome (1748448471).

The spelling of 1323225240 in words is "one billion, three hundred twenty-three million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 101 120 129 172 202 215 258 303 344 404 430 505 516 606 645 808 860 1010 1032 1212 1290 1515 1720 2020 2424 2539 2580 3030 4040 4343 5078 5160 6060 7617 8686 10156 12120 12695 13029 15234 17372 20312 21715 25390 26058 30468 34744 38085 43430 50780 52116 60936 65145 76170 86860 101560 104232 109177 130290 152340 173720 218354 256439 260580 304680 327531 436708 512878 521160 545885 655062 769317 873416 1025756 1091770 1282195 1310124 1538634 1637655 2051512 2183540 2564390 2620248 3077268 3275310 3846585 4367080 5128780 6154536 6550620 7693170 10257560 11026877 13101240 15386340 22053754 30772680 33080631 44107508 55134385 66161262 88215016 110268770 132322524 165403155 220537540 264645048 330806310 441075080 661612620 1323225240