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1384022016 = 2153213192
BaseRepresentation
bin101001001111110…
…1000000000000000
310120110021121021200
41102133220000000
510313302201031
6345200221200
746203664416
oct12237500000
93513247250
101384022016
11650276253
1232760a800
13190975c50
14d1b532b6
158178a8e6
hex527e8000

1384022016 has 288 divisors, whose sum is σ = 4544327970. Its totient is φ = 403439616.

The previous prime is 1384022011. The next prime is 1384022023. The reversal of 1384022016 is 6102204831.

It can be written as a sum of positive squares in only one way, i.e., 1330790400 + 53231616 = 36480^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1384022011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72843255 + ... + 72843273.

Almost surely, 21384022016 is an apocalyptic number.

1384022016 is a gapful number since it is divisible by the number (16) 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 1384022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272163985).

1384022016 is an abundant number, since it is smaller than the sum of its proper divisors (3160305954).

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

1384022016 is an equidigital number, since it uses as much as digits as its factorization.

1384022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1384022016 is about 37202.4463711730. The cubic root of 1384022016 is about 1114.4168402465.

Adding to 1384022016 its reverse (6102204831), we get a palindrome (7486226847).

The spelling of 1384022016 in words is "one billion, three hundred eighty-four million, twenty-two thousand, sixteen".