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394344384 = 26372312757
BaseRepresentation
bin10111100000010…
…011011111000000
31000111000202210120
4113200103133000
51301423010014
6103044100240
712525605040
oct2740233700
91014022716
10394344384
11192662855
12b0094680
1363911295
143a531720
1524947ba9
hex178137c0

394344384 has 112 divisors (see below), whose sum is σ = 1244364288. Its totient is φ = 107762688.

The previous prime is 394344341. The next prime is 394344421. The reversal of 394344384 is 483443493.

It is a happy number.

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 congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24534 + ... + 37290.

Almost surely, 2394344384 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 394344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622182144).

394344384 is an abundant number, since it is smaller than the sum of its proper divisors (850019904).

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

394344384 is a wasteful number, since it uses less digits than its factorization.

394344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 12792 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 394344384 is about 19858.1062541220. The cubic root of 394344384 is about 733.3172257252.

The spelling of 394344384 in words is "three hundred ninety-four million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 12757 15456 25514 30912 38271 51028 76542 89299 102056 153084 178598 204112 267897 293411 306168 357196 408224 535794 586822 612336 714392 816448 880233 1071588 1173644 1224672 1428784 1760466 2053877 2143176 2347288 2449344 2857568 3520932 4107754 4286352 4694576 5715136 6161631 7041864 8215508 8572704 9389152 12323262 14083728 16431016 17145408 18778304 24646524 28167456 32862032 49293048 56334912 65724064 98586096 131448128 197172192 394344384