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1068476304 = 243718117569
BaseRepresentation
bin111111101011111…
…010011110010000
32202110112012221110
4333223322132100
54142012220204
6254005053320
735322620160
oct7753723620
92673465843
101068476304
114a9144075
122599b7240
131404942cc
14a1c945a0
1563c0a889
hex3fafa790

1068476304 has 80 divisors (see below), whose sum is σ = 3172158080. Its totient is φ = 303575040.

The previous prime is 1068476303. The next prime is 1068476309. The reversal of 1068476304 is 4036748601.

It is a super-2 number, since 2×10684763042 = 2283283224419000832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068476303) 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 15 ways as a sum of consecutive naturals, for example, 52032 + ... + 69600.

It is an arithmetic number, because the mean of its divisors is an integer number (39651976).

Almost surely, 21068476304 is an apocalyptic number.

1068476304 is a gapful number since it is divisible by the number (14) 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 1068476304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586079040).

1068476304 is an abundant number, since it is smaller than the sum of its proper divisors (2103681776).

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

1068476304 is a wasteful number, since it uses less digits than its factorization.

1068476304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17768 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1068476304 is about 32687.5557972755. Note that the first 3 decimals coincide. The cubic root of 1068476304 is about 1022.3233926402.

The spelling of 1068476304 in words is "one billion, sixty-eight million, four hundred seventy-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 543 724 1086 1267 1448 2172 2534 2896 3801 4344 5068 7602 8688 10136 15204 17569 20272 30408 35138 52707 60816 70276 105414 122983 140552 210828 245966 281104 368949 421656 491932 737898 843312 983864 1475796 1967728 2951592 3179989 5903184 6359978 9539967 12719956 19079934 22259923 25439912 38159868 44519846 50879824 66779769 76319736 89039692 133559538 152639472 178079384 267119076 356158768 534238152 1068476304