Search a number
-
+
311332230 = 232511476691
BaseRepresentation
bin10010100011101…
…000110110000110
3210200211022112100
4102203220312012
51114200112410
650520532530
710500165066
oct2243506606
9720738470
10311332230
1114a814570
1288321146
134c667b71
142d4c33a6
151c4eb8c0
hex128e8d86

311332230 has 96 divisors (see below), whose sum is σ = 901974528. Its totient is φ = 73857600.

The previous prime is 311332223. The next prime is 311332243. The reversal of 311332230 is 32233113.

311332230 is a `hidden beast` number, since 311 + 3 + 322 + 30 = 666.

311332230 is digitally balanced in base 3, 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 (18).

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 47 ways as a sum of consecutive naturals, for example, 43185 + ... + 49875.

It is an arithmetic number, because the mean of its divisors is an integer number (9395568).

Almost surely, 2311332230 is an apocalyptic number.

311332230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450987264).

311332230 is an abundant number, since it is smaller than the sum of its proper divisors (590642298).

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

311332230 is a wasteful number, since it uses less digits than its factorization.

311332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 311332230 is about 17644.6090917311. The cubic root of 311332230 is about 677.7580649308.

Adding to 311332230 its reverse (32233113), we get a palindrome (343565343).

The spelling of 311332230 in words is "three hundred eleven million, three hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 47 55 66 90 94 99 110 141 165 198 235 282 330 423 470 495 517 705 846 990 1034 1410 1551 2115 2585 3102 4230 4653 5170 6691 7755 9306 13382 15510 20073 23265 33455 40146 46530 60219 66910 73601 100365 120438 147202 200730 220803 301095 314477 368005 441606 602190 628954 662409 736010 943431 1104015 1324818 1572385 1886862 2208030 2830293 3144770 3312045 3459247 4717155 5660586 6624090 6918494 9434310 10377741 14151465 17296235 20755482 28302930 31133223 34592470 51888705 62266446 103777410 155666115 311332230