Search a number
-
+
3380000000 = 2857132
BaseRepresentation
bin1100100101110110…
…1011010100000000
322201120001210100012
43021131223110000
523410240000000
61315221044052
7146521345256
oct31135532400
98646053305
103380000000
111484a16033
127a3b56628
1341b342700
14240c825d6
1514bb06735
hexc976b500

3380000000 has 216 divisors, whose sum is σ = 9132105528. Its totient is φ = 1248000000.

The previous prime is 3379999999. The next prime is 3380000009. The reversal of 3380000000 is 833.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 277955584 + 3102044416 = 16672^2 + 55696^2 .

It is a super-2 number, since 2×33800000002 = 22848800000000000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3380000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380000009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259999994 + ... + 260000006.

Almost surely, 23380000000 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 3380000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566052764).

3380000000 is an abundant number, since it is smaller than the sum of its proper divisors (5752105528).

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

3380000000 is an frugal number, since it uses more digits than its factorization.

3380000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3380000000 is about 58137.7674149945. The cubic root of 3380000000 is about 1500.7403752436.

Adding to 3380000000 its reverse (833), we get a palindrome (3380000833).

The spelling of 3380000000 in words is "three billion, three hundred eighty million", and thus it is an aban number.