Search a number
-
+
1068395328 = 26327111317109
BaseRepresentation
bin111111101011100…
…110101101000000
32202110101002212100
4333223212231000
54142002122303
6254003230400
735322132120
oct7753465500
92673332770
101068395328
114a9099250
12259978400
131404664b0
14a1c72c80
1563be18a3
hex3fae6b40

1068395328 has 672 divisors, whose sum is σ = 4393509120. Its totient is φ = 238878720.

The previous prime is 1068395323. The next prime is 1068395357. The reversal of 1068395328 is 8235938601.

It is a happy number.

1068395328 is a `hidden beast` number, since 106 + 8 + 3 + 9 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10683953282 = 2282937153784455168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068395323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9801738 + ... + 9801846.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 21068395328 is an apocalyptic number.

1068395328 is a gapful number since it is divisible by the number (18) 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 1068395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196754560).

1068395328 is an abundant number, since it is smaller than the sum of its proper divisors (3325113792).

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

1068395328 is a wasteful number, since it uses less digits than its factorization.

1068395328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1068395328 is about 32686.3171372977. The cubic root of 1068395328 is about 1022.2975659092.

The spelling of 1068395328 in words is "one billion, sixty-eight million, three hundred ninety-five thousand, three hundred twenty-eight".