Search a number
-
+
311030440 = 23572315119
BaseRepresentation
bin10010100010011…
…111001010101000
3210200020222112221
4102202133022220
51114110433230
650510243424
710464500200
oct2242371250
9720228487
10311030440
1114a628856
12881b6574
134c5906a6
142d445400
151c48c27a
hex1289f2a8

311030440 has 96 divisors (see below), whose sum is σ = 840499200. Its totient is φ = 103178880.

The previous prime is 311030429. The next prime is 311030491. The reversal of 311030440 is 44030113.

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 23 ways as a sum of consecutive naturals, for example, 58201 + ... + 63319.

It is an arithmetic number, because the mean of its divisors is an integer number (8755200).

Almost surely, 2311030440 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 311030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420249600).

311030440 is an abundant number, since it is smaller than the sum of its proper divisors (529468760).

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

311030440 is a wasteful number, since it uses less digits than its factorization.

311030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 311030440 is about 17636.0551144523. The cubic root of 311030440 is about 677.5389991303.

Adding to 311030440 its reverse (44030113), we get a palindrome (355060553).

The spelling of 311030440 in words is "three hundred eleven million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 3038 4340 5119 6076 7595 8680 10238 12152 15190 20476 25595 30380 35833 40952 51190 60760 71666 102380 143332 158689 179165 204760 250831 286664 317378 358330 501662 634756 716660 793445 1003324 1110823 1254155 1269512 1433320 1586890 2006648 2221646 2508310 3173780 4443292 5016620 5554115 6347560 7775761 8886584 10033240 11108230 15551522 22216460 31103044 38878805 44432920 62206088 77757610 155515220 311030440