Search a number
-
+
312732472 = 231322389113
BaseRepresentation
bin10010101000111…
…110101100111000
3210210110110022011
4102220332230320
51120024414342
651010535304
710515116323
oct2250765470
9723413264
10312732472
11150590598
1288897534
134ca38300
142d7697ba
151c6c6717
hex12a3eb38

312732472 has 96 divisors (see below), whose sum is σ = 675928800. Its totient is φ = 135303168.

The previous prime is 312732467. The next prime is 312732479. The reversal of 312732472 is 274237213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312732479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2767488 + ... + 2767600.

It is an arithmetic number, because the mean of its divisors is an integer number (7040925).

Almost surely, 2312732472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312732472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337964400).

312732472 is an abundant number, since it is smaller than the sum of its proper divisors (363196328).

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

312732472 is a wasteful number, since it uses less digits than its factorization.

312732472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 312732472 is about 17684.2436083650. The cubic root of 312732472 is about 678.7726360637.

Adding to 312732472 its reverse (274237213), we get a palindrome (586969685).

The spelling of 312732472 in words is "three hundred twelve million, seven hundred thirty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 23 26 46 52 89 92 104 113 169 178 184 226 299 338 356 452 598 676 712 904 1157 1196 1352 1469 2047 2314 2392 2599 2938 3887 4094 4628 5198 5876 7774 8188 9256 10057 10396 11752 15041 15548 16376 19097 20114 20792 26611 30082 31096 33787 38194 40228 53222 60164 67574 76388 80456 106444 120328 130741 135148 152776 212888 231311 261482 270296 345943 439231 462622 522964 691886 878462 925244 1045928 1383772 1699633 1756924 1850488 2767544 3007043 3399266 3513848 6014086 6798532 12028172 13597064 24056344 39091559 78183118 156366236 312732472