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1066440312 = 233272302279
BaseRepresentation
bin111111100100001…
…001011001111000
32202022200210002100
4333210021121320
54141002042222
6253453303400
735266410300
oct7744113170
92668623070
101066440312
114a7a83433
12259194b60
1313cc30692
14a18c4600
15639574ac
hex3f909678

1066440312 has 72 divisors (see below), whose sum is σ = 3359842200. Its totient is φ = 304696224.

The previous prime is 1066440253. The next prime is 1066440367. The reversal of 1066440312 is 2130446601.

1066440312 is a `hidden beast` number, since 1 + 0 + 6 + 644 + 0 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10664403122 = 2274589878117314688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147612 + ... + 154667.

It is an arithmetic number, because the mean of its divisors is an integer number (46664475).

Almost surely, 21066440312 is an apocalyptic number.

1066440312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1066440312 is an abundant number, since it is smaller than the sum of its proper divisors (2293401888).

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

1066440312 is a wasteful number, since it uses less digits than its factorization.

1066440312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302305 (or 302291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1066440312 is about 32656.3977192831. The cubic root of 1066440312 is about 1021.6736306967.

Adding to 1066440312 its reverse (2130446601), we get a palindrome (3196886913).

The spelling of 1066440312 in words is "one billion, sixty-six million, four hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 302279 604558 906837 1209116 1813674 2115953 2418232 2720511 3627348 4231906 5441022 6347859 7254696 8463812 10882044 12695718 14811671 16927624 19043577 21764088 25391436 29623342 38087154 44435013 50782872 59246684 76174308 88870026 118493368 133305039 152348616 177740052 266610078 355480104 533220156 1066440312