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1068342912 = 27337134379
BaseRepresentation
bin111111101011011…
…001111010000000
32202110021102222000
4333223121322000
54141443433122
6254002144000
735321523240
oct7753317200
92673242860
101068342912
114a906292a
12259952000
13140448690
14a1c5bb20
1563bd10ac
hex3fad9e80

1068342912 has 512 divisors, whose sum is σ = 4021248000. Its totient is φ = 271724544.

The previous prime is 1068342901. The next prime is 1068342929. The reversal of 1068342912 is 2192438601.

It is a super-2 number, since 2×10683429122 = 2282713155241279488, which contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13523289 + ... + 13523367.

It is an arithmetic number, because the mean of its divisors is an integer number (7854000).

Almost surely, 21068342912 is an apocalyptic number.

1068342912 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 1068342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010624000).

1068342912 is an abundant number, since it is smaller than the sum of its proper divisors (2952905088).

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

1068342912 is a wasteful number, since it uses less digits than its factorization.

1068342912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1068342912 is about 32685.5153240698. The cubic root of 1068342912 is about 1022.2808474954.

It can be divided in two parts, 106834 and 2912, that added together give a triangular number (109746 = T468).

The spelling of 1068342912 in words is "one billion, sixty-eight million, three hundred forty-two thousand, nine hundred twelve".