Search a number
-
+
324164132240 = 24513223976637
BaseRepresentation
bin1001011011110011011…
…00000001110110010000
31010222201120000010112212
410231321230001312100
520302342004212430
6404530254211252
732264042442434
oct4557154016620
91128646003485
10324164132240
11115528224523
12529a9ab3b28
1324751134500
14119924a49c4
158673cc1b95
hex4b79b01d90

324164132240 has 60 divisors (see below), whose sum is σ = 816116804244. Its totient is φ = 119691366912.

The previous prime is 324164132219. The next prime is 324164132251. The reversal of 324164132240 is 42231461423.

It can be written as a sum of positive squares in 6 ways, for example, as 4391977984 + 319772154256 = 66272^2 + 565484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 324164132197 and 324164132206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11974799 + ... + 12001838.

Almost surely, 2324164132240 is an apocalyptic number.

It is an amenable number.

324164132240 is an abundant number, since it is smaller than the sum of its proper divisors (491952672004).

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

324164132240 is a wasteful number, since it uses less digits than its factorization.

324164132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23976676 (or 23976657 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 324164132240 its reverse (42231461423), we get a palindrome (366395593663).

The spelling of 324164132240 in words is "three hundred twenty-four billion, one hundred sixty-four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 23976637 47953274 95906548 119883185 191813096 239766370 311696281 383626192 479532740 623392562 959065480 1246785124 1558481405 1918130960 2493570248 3116962810 4052051653 4987140496 6233925620 8104103306 12467851240 16208206612 20260258265 24935702480 32416413224 40520516530 64832826448 81041033060 162082066120 324164132240