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382169664 = 263473721
BaseRepresentation
bin10110110001110…
…111001001000000
3222122010020020000
4112301313021000
51240313412124
6101531120000
712320250162
oct2661671100
9878106200
10382169664
111867a77a8
12a7ba3000
136123a8c6
1438a82932
15238406c9
hex16c77240

382169664 has 70 divisors (see below), whose sum is σ = 1132885974. Its totient is φ = 127388160.

The previous prime is 382169659. The next prime is 382169687. The reversal of 382169664 is 466961283.

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 95883264 = 16920^2 + 9792^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31677 + ... + 42044.

Almost surely, 2382169664 is an apocalyptic number.

It is an amenable number.

382169664 is an abundant number, since it is smaller than the sum of its proper divisors (750716310).

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

382169664 is an equidigital number, since it uses as much as digits as its factorization.

382169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73745 (or 73726 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 382169664 is about 19549.1601865656. The cubic root of 382169664 is about 725.6915567017.

The spelling of 382169664 in words is "three hundred eighty-two million, one hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 73721 147442 221163 294884 442326 589768 663489 884652 1179536 1326978 1769304 1990467 2359072 2653956 3538608 3980934 4718144 5307912 5971401 7077216 7961868 10615824 11942802 14154432 15923736 21231648 23885604 31847472 42463296 47771208 63694944 95542416 127389888 191084832 382169664