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1068645312 = 263473601
BaseRepresentation
bin111111101100100…
…011101111000000
32202110211210210000
4333230203233000
54142033122222
6254012440000
735324223000
oct7754435700
92673753700
101068645312
114a924a049
12259a79000
13140523207
14a1cda000
1563c409ac
hex3fb23bc0

1068645312 has 280 divisors, whose sum is σ = 3700373600. Its totient is φ = 304819200.

The previous prime is 1068645289. The next prime is 1068645317. The reversal of 1068645312 is 2135468601.

It is a happy number.

1068645312 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 645 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×10686453122 = 2284005605719154688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068645317) 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 39 ways as a sum of consecutive naturals, for example, 1777812 + ... + 1778412.

It is an arithmetic number, because the mean of its divisors is an integer number (13215620).

Almost surely, 21068645312 is an apocalyptic number.

1068645312 is a gapful number since it is divisible by the number (12) 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 1068645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850186800).

1068645312 is an abundant number, since it is smaller than the sum of its proper divisors (2631728288).

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

1068645312 is an frugal number, since it uses more digits than its factorization.

1068645312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1068645312 is about 32690.1408990540. The cubic root of 1068645312 is about 1022.3772923608.

The spelling of 1068645312 in words is "one billion, sixty-eight million, six hundred forty-five thousand, three hundred twelve".