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1384740000 = 25325472157
BaseRepresentation
bin101001010001001…
…0111010010100000
310120111122002011200
41102202113102200
510313443140000
6345223441200
746213044600
oct12242272240
93514562150
101384740000
11650716726
123278b6200
13190b679a7
14d1c9cc00
158187d500
hex528974a0

1384740000 has 540 divisors, whose sum is σ = 5760588834. Its totient is φ = 314496000.

The previous prime is 1384739977. The next prime is 1384740011. The reversal of 1384740000 is 474831.

It can be written as a sum of positive squares in 5 ways, for example, as 7056 + 1384732944 = 84^2 + 37212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8819922 + ... + 8820078.

Almost surely, 21384740000 is an apocalyptic number.

1384740000 is a gapful number since it is divisible by the number (10) 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 1384740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880294417).

1384740000 is an abundant number, since it is smaller than the sum of its proper divisors (4375848834).

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

1384740000 is a wasteful number, since it uses less digits than its factorization.

1384740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1384740000 is about 37212.0948080056. The cubic root of 1384740000 is about 1114.6095142383.

The spelling of 1384740000 in words is "one billion, three hundred eighty-four million, seven hundred forty thousand".