Search a number
-
+
311808 = 293729
BaseRepresentation
bin1001100001000000000
3120211201110
41030020000
534434213
610403320
72436030
oct1141000
9524643
10311808
111a32a2
12130540
13abc03
14818c0
15625c3
hex4c200

311808 has 80 divisors (see below), whose sum is σ = 982080. Its totient is φ = 86016.

The previous prime is 311807. The next prime is 311821. The reversal of 311808 is 808113.

It can be divided in two parts, 3 and 11808, that added together give a palindrome (11811).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 311808.

It is not an unprimeable number, because it can be changed into a prime (311803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10738 + ... + 10766.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2311808 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 311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

311808 is an abundant number, since it is smaller than the sum of its proper divisors (670272).

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

311808 is an equidigital number, since it uses as much as digits as its factorization.

311808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 311808 is about 558.3977077317. The cubic root of 311808 is about 67.8103133431.

The spelling of 311808 in words is "three hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 512 609 672 696 768 812 896 928 1218 1344 1392 1536 1624 1792 1856 2436 2688 2784 3248 3584 3712 4872 5376 5568 6496 7424 9744 10752 11136 12992 14848 19488 22272 25984 38976 44544 51968 77952 103936 155904 311808