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383946912 = 2533231392
BaseRepresentation
bin10110111000101…
…001000010100000
3222202110112011000
4112320221002200
51241242300122
6102033152000
712341331516
oct2670510240
9882415130
10383946912
11187800aa8
12a86bb600
136171082b
1438dc64b6
1523a920ac
hex16e290a0

383946912 has 144 divisors (see below), whose sum is σ = 1177001280. Its totient is φ = 121537152.

The previous prime is 383946911. The next prime is 383946929. The reversal of 383946912 is 219649383.

It is a happy number.

383946912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 (383946911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2762139 + ... + 2762277.

It is an arithmetic number, because the mean of its divisors is an integer number (8173620).

Almost surely, 2383946912 is an apocalyptic number.

383946912 is a gapful number since it is divisible by the number (32) 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 383946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588500640).

383946912 is an abundant number, since it is smaller than the sum of its proper divisors (793054368).

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

383946912 is a wasteful number, since it uses less digits than its factorization.

383946912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 167 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 383946912 is about 19594.5633276172. The cubic root of 383946912 is about 726.8147399996.

The spelling of 383946912 in words is "three hundred eighty-three million, nine hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 139 144 184 207 216 276 278 288 368 414 417 432 552 556 621 736 828 834 864 1104 1112 1242 1251 1656 1668 2208 2224 2484 2502 3197 3312 3336 3753 4448 4968 5004 6394 6624 6672 7506 9591 9936 10008 12788 13344 15012 19182 19321 19872 20016 25576 28773 30024 38364 38642 40032 51152 57546 57963 60048 76728 77284 86319 102304 115092 115926 120096 153456 154568 172638 173889 230184 231852 306912 309136 345276 347778 444383 460368 463704 521667 618272 690552 695556 888766 920736 927408 1043334 1333149 1381104 1391112 1777532 1854816 2086668 2666298 2762208 2782224 3555064 3999447 4173336 5332596 5564448 7110128 7998894 8346672 10665192 11998341 14220256 15997788 16693344 21330384 23996682 31995576 42660768 47993364 63991152 95986728 127982304 191973456 383946912