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383539968 = 283377927
BaseRepresentation
bin10110110111000…
…101101100000000
3222201200211221000
4112313011230000
51241141234333
6102020332000
712335015220
oct2667055400
9881624830
10383539968
11187553289
12a8544000
13615ca536
1438d1c080
1523a11713
hex16dc5b00

383539968 has 144 divisors (see below), whose sum is σ = 1296386560. Its totient is φ = 109569024.

The previous prime is 383539939. The next prime is 383539969. The reversal of 383539968 is 869935383.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383539969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44421 + ... + 52347.

Almost surely, 2383539968 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 383539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648193280).

383539968 is an abundant number, since it is smaller than the sum of its proper divisors (912846592).

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

383539968 is an equidigital number, since it uses as much as digits as its factorization.

383539968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7939 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 383539968 is about 19584.1764697932. The cubic root of 383539968 is about 726.5578664179.

The spelling of 383539968 in words is "three hundred eighty-three million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 7927 8064 12096 15854 16128 23781 24192 31708 47562 48384 55489 63416 71343 95124 110978 126832 142686 166467 190248 214029 221956 253664 285372 332934 380496 428058 443912 499401 507328 570744 665868 760992 856116 887824 998802 1014656 1141488 1331736 1498203 1521984 1712232 1775648 1997604 2029312 2282976 2663472 2996406 3043968 3424464 3551296 3995208 4565952 5326944 5992812 6087936 6848928 7102592 7990416 9131904 10653888 11985624 13697856 14205184 15980832 18263808 21307776 23971248 27395712 31961664 42615552 47942496 54791424 63923328 95884992 127846656 191769984 383539968