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311920384 = 281737043
BaseRepresentation
bin10010100101111…
…000011100000000
3210201221012022211
4102211320130000
51114322423014
650541311504
710505164606
oct2245703400
9721835284
10311920384
11150086446
1288565594
134c812799
142d5d7876
151c5b5cc4
hex12978700

311920384 has 36 divisors (see below), whose sum is σ = 626310216. Its totient is φ = 155036672.

The previous prime is 311920373. The next prime is 311920393. The reversal of 311920384 is 483029113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40767 + ... + 47809.

It is an arithmetic number, because the mean of its divisors is an integer number (17397506).

Almost surely, 2311920384 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 311920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313155108).

311920384 is an abundant number, since it is smaller than the sum of its proper divisors (314389832).

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

311920384 is an equidigital number, since it uses as much as digits as its factorization.

311920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 311920384 is about 17661.2679046551. The cubic root of 311920384 is about 678.1845925218.

Adding to 311920384 its reverse (483029113), we get a palindrome (794949497).

The spelling of 311920384 in words is "three hundred eleven million, nine hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1384 2768 5536 7043 11072 14086 22144 28172 44288 56344 112688 225376 450752 901504 1218439 1803008 2436878 4873756 9747512 19495024 38990048 77980096 155960192 311920384