Search a number
-
+
311032020 = 223513398759
BaseRepresentation
bin10010100010011…
…111100011010100
3210200021001201110
4102202133203110
51114111011040
650510255020
710464504615
oct2242374324
9720231643
10311032020
1114a629a62
12881b7470
134c591320
142d445c0c
151c48c980
hex1289f8d4

311032020 has 48 divisors (see below), whose sum is σ = 937883520. Its totient is φ = 76561536.

The previous prime is 311032019. The next prime is 311032031. The reversal of 311032020 is 20230113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 311031987 and 311032005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198600 + ... + 200159.

It is an arithmetic number, because the mean of its divisors is an integer number (19539240).

Almost surely, 2311032020 is an apocalyptic number.

311032020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311032020 is an abundant number, since it is smaller than the sum of its proper divisors (626851500).

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

311032020 is a wasteful number, since it uses less digits than its factorization.

311032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398784 (or 398782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 311032020 is about 17636.0999089935. The cubic root of 311032020 is about 677.5401464026.

Adding to 311032020 its reverse (20230113), we get a palindrome (331262133).

The spelling of 311032020 in words is "three hundred eleven million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 398759 797518 1196277 1595036 1993795 2392554 3987590 4785108 5183867 5981385 7975180 10367734 11962770 15551601 20735468 23925540 25919335 31103202 51838670 62206404 77758005 103677340 155516010 311032020