Search a number
-
+
3387696048 = 243511219379
BaseRepresentation
bin1100100111101100…
…0010001110110000
322202002112210100000
43021323002032300
523414222233143
61320054030000
7146643640602
oct31173021660
98662483300
103387696048
1114892a2200
127a6648300
1341cb08699
14241cc7172
1514c626bd3
hexc9ec23b0

3387696048 has 360 divisors, whose sum is σ = 11405867200. Its totient is φ = 969978240.

The previous prime is 3387696041. The next prime is 3387696049. The reversal of 3387696048 is 8406967833.

It is a super-2 number, since 2×33876960482 = 22952969027269636608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3387695985 and 3387696003.

It is not an unprimeable number, because it can be changed into a prime (3387696041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8938323 + ... + 8938701.

Almost surely, 23387696048 is an apocalyptic number.

3387696048 is a gapful number since it is divisible by the number (38) 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 3387696048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702933600).

3387696048 is an abundant number, since it is smaller than the sum of its proper divisors (8018171152).

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

3387696048 is a wasteful number, since it uses less digits than its factorization.

3387696048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3387696048 is about 58203.9178062783. The cubic root of 3387696048 is about 1501.8785424035.

The spelling of 3387696048 in words is "three billion, three hundred eighty-seven million, six hundred ninety-six thousand, forty-eight".