Search a number
-
+
266328384 = 2637712791
BaseRepresentation
bin11111101111111…
…01100101000000
3200120010212212020
433313331211000
51021140002014
642232201440
76412516410
oct1767754500
9616125766
10266328384
11127376503
1275239280
134323b87a
142752a640
15185ac1a9
hexfdfd940

266328384 has 112 divisors (see below), whose sum is σ = 816961536. Its totient is φ = 74995200.

The previous prime is 266328383. The next prime is 266328397. The reversal of 266328384 is 483823662.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266328383) by changing a digit.

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, 94029 + ... + 96819.

Almost surely, 2266328384 is an apocalyptic number.

266328384 is a gapful number since it is divisible by the number (24) 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 266328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408480768).

266328384 is an abundant number, since it is smaller than the sum of its proper divisors (550633152).

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

266328384 is a wasteful number, since it uses less digits than its factorization.

266328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 266328384 is about 16319.5705825858. The cubic root of 266328384 is about 643.3873009633.

The spelling of 266328384 in words is "two hundred sixty-six million, three hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1344 1491 1704 1988 2272 2791 2982 3408 3976 4544 5582 5964 6816 7952 8373 11164 11928 13632 15904 16746 19537 22328 23856 31808 33492 39074 44656 47712 58611 66984 78148 89312 95424 117222 133968 156296 178624 198161 234444 267936 312592 396322 468888 535872 594483 625184 792644 937776 1188966 1250368 1387127 1585288 1875552 2377932 2774254 3170576 3751104 4161381 4755864 5548508 6341152 8322762 9511728 11097016 12682304 16645524 19023456 22194032 33291048 38046912 44388064 66582096 88776128 133164192 266328384