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311247420 = 223511597993
BaseRepresentation
bin10010100011010…
…100001000111100
3210200200000012020
4102203110020330
51114134404140
650515040140
710466362611
oct2243241074
9720600166
10311247420
1114a766880
12882a0050
134c638393
142d4a0508
151c4d16d0
hex128d423c

311247420 has 96 divisors (see below), whose sum is σ = 966954240. Its totient is φ = 74165760.

The previous prime is 311247397. The next prime is 311247421. The reversal of 311247420 is 24742113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311247421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34944 + ... + 42936.

It is an arithmetic number, because the mean of its divisors is an integer number (10072440).

Almost surely, 2311247420 is an apocalyptic number.

311247420 is a gapful number since it is divisible by the number (30) 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 311247420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483477120).

311247420 is an abundant number, since it is smaller than the sum of its proper divisors (655706820).

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

311247420 is a wasteful number, since it uses less digits than its factorization.

311247420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 311247420 is about 17642.2056444199. The cubic root of 311247420 is about 677.6965166594.

Adding to 311247420 its reverse (24742113), we get a palindrome (335989533).

The spelling of 311247420 in words is "three hundred eleven million, two hundred forty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 7993 9735 12980 15986 19470 23979 31972 38940 39965 47958 79930 87923 95916 119895 159860 175846 239790 263769 351692 439615 471587 479580 527538 879230 943174 1055076 1318845 1414761 1758460 1886348 2357935 2637690 2829522 4715870 5187457 5275380 5659044 7073805 9431740 10374914 14147610 15562371 20749828 25937285 28295220 31124742 51874570 62249484 77811855 103749140 155623710 311247420