Search a number
-
+
311293020 = 223514713527
BaseRepresentation
bin10010100011011…
…111010001011100
3210200202022202010
4102203133101130
51114142334040
650520031220
710466642553
oct2243372134
9720668663
10311293020
1114a798065
1288302510
134c65306c
142d4b2d9a
151c4dee80
hex128df45c

311293020 has 48 divisors (see below), whose sum is σ = 872460288. Its totient is φ = 82931520.

The previous prime is 311293019. The next prime is 311293061. The reversal of 311293020 is 20392113.

It is a happy number.

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, 86497 + ... + 90023.

It is an arithmetic number, because the mean of its divisors is an integer number (18176256).

Almost surely, 2311293020 is an apocalyptic number.

311293020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311293020 is an abundant number, since it is smaller than the sum of its proper divisors (561167268).

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

311293020 is a wasteful number, since it uses less digits than its factorization.

311293020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 311293020 is about 17643.4979525036. The cubic root of 311293020 is about 677.7296108584.

The spelling of 311293020 in words is "three hundred eleven million, two hundred ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1471 2942 3527 4413 5884 7054 7355 8826 10581 14108 14710 17635 17652 21162 22065 29420 35270 42324 44130 52905 70540 88260 105810 211620 5188217 10376434 15564651 20752868 25941085 31129302 51882170 62258604 77823255 103764340 155646510 311293020