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1066314352 = 241971127389
BaseRepresentation
bin111111100011101…
…010101001110000
32202022110101022011
4333203222221300
54140434024402
6253450452304
735265344125
oct7743525160
92668411264
101066314352
114a79a7834
12259134094
1313cbb824c
14a189074c
156392eed7
hex3f8eaa70

1066314352 has 80 divisors (see below), whose sum is σ = 2228428800. Its totient is φ = 492791040.

The previous prime is 1066314349. The next prime is 1066314373. The reversal of 1066314352 is 2534136601.

It is a super-3 number, since 3×10663143523 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2740974 + ... + 2741362.

It is an arithmetic number, because the mean of its divisors is an integer number (27855360).

Almost surely, 21066314352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066314352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114214400).

1066314352 is an abundant number, since it is smaller than the sum of its proper divisors (1162114448).

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

1066314352 is a wasteful number, since it uses less digits than its factorization.

1066314352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 1066314352 is about 32654.4690968939. The cubic root of 1066314352 is about 1021.6334049488.

The spelling of 1066314352 in words is "one billion, sixty-six million, three hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 38 71 76 127 142 152 254 284 304 389 508 568 778 1016 1136 1349 1556 2032 2413 2698 3112 4826 5396 6224 7391 9017 9652 10792 14782 18034 19304 21584 27619 29564 36068 38608 49403 55238 59128 72136 98806 110476 118256 144272 171323 197612 220952 342646 395224 441904 524761 685292 790448 938657 1049522 1370584 1877314 2099044 2741168 3507613 3754628 4198088 7015226 7509256 8396176 14030452 15018512 28060904 56121808 66644647 133289294 266578588 533157176 1066314352