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1066342320 = 24355192887
BaseRepresentation
bin111111100011110…
…001011110110000
32202022111210200000
4333203301132300
54140440423240
6253451230000
735265521511
oct7743613660
92668453600
101066342320
114a7a1684a
12259148300
1313cbc7bb4
14a189aa08
1563938430
hex3f8f17b0

1066342320 has 240 divisors, whose sum is σ = 3910583040. Its totient is φ = 269298432.

The previous prime is 1066342283. The next prime is 1066342363. The reversal of 1066342320 is 232436601.

1066342320 is a `hidden beast` number, since 1 + 0 + 6 + 634 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10663423202 = 2274171886845964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367917 + ... + 370803.

It is an arithmetic number, because the mean of its divisors is an integer number (16294096).

Almost surely, 21066342320 is an apocalyptic number.

1066342320 is a gapful number since it is divisible by the number (10) 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 1066342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955291520).

1066342320 is an abundant number, since it is smaller than the sum of its proper divisors (2844240720).

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

1066342320 is a wasteful number, since it uses less digits than its factorization.

1066342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1066342320 is about 32654.8973356218. The cubic root of 1066342320 is about 1021.6423368969.

Adding to 1066342320 its reverse (232436601), we get a palindrome (1298778921).

The spelling of 1066342320 in words is "one billion, sixty-six million, three hundred forty-two thousand, three hundred twenty".