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1068233409 = 321959113937
BaseRepresentation
bin111111101010111…
…111001011000001
32202110001212202100
4333222333023001
54141431432114
6253555541013
735320556055
oct7752771301
92673055670
101068233409
114a8a98631
122598ba769
1314040a899
14a1c2dc65
1563bad909
hex3fabf2c1

1068233409 has 48 divisors (see below), whose sum is σ = 1668139200. Its totient is φ = 656667648.

The previous prime is 1068233389. The next prime is 1068233417. The reversal of 1068233409 is 9043328601.

1068233409 is a `hidden beast` number, since 10 + 6 + 8 + 233 + 409 = 666.

It is not a de Polignac number, because 1068233409 - 216 = 1068167873 is a prime.

It is a super-2 number, since 2×10682334092 = 2282245232207522562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068233429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139589 + ... + 1140525.

It is an arithmetic number, because the mean of its divisors is an integer number (34752900).

Almost surely, 21068233409 is an apocalyptic number.

1068233409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1068233409 is a deficient number, since it is larger than the sum of its proper divisors (599905791).

1068233409 is a wasteful number, since it uses less digits than its factorization.

1068233409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1068233409 is about 32683.8401813496. The cubic root of 1068233409 is about 1022.2459190583.

The spelling of 1068233409 in words is "one billion, sixty-eight million, two hundred thirty-three thousand, four hundred nine".

Divisors: 1 3 9 19 57 59 113 171 177 339 531 937 1017 1121 2147 2811 3363 6441 6667 8433 10089 17803 19323 20001 53409 55283 60003 105881 126673 160227 165849 317643 380019 497547 952929 1050377 1140057 2011739 3151131 6035217 6246979 9453393 18105651 18740937 56222811 118692601 356077803 1068233409