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395804424 = 233235383163
BaseRepresentation
bin10111100101110…
…111111100001000
31000120202221121010
4113211313330020
51302311220144
6103135243520
712544165521
oct2745677410
91016687533
10395804424
1119346a7a4
12b06795a0
1364002a02
143a7d1848
1524b355b9
hex17977f08

395804424 has 128 divisors (see below), whose sum is σ = 1071221760. Its totient is φ = 121575168.

The previous prime is 395804419. The next prime is 395804483. The reversal of 395804424 is 424408593.

It is a super-2 number, since 2×3958044242 = 313322284115943552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2428167 + ... + 2428329.

It is an arithmetic number, because the mean of its divisors is an integer number (8368920).

Almost surely, 2395804424 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 395804424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535610880).

395804424 is an abundant number, since it is smaller than the sum of its proper divisors (675417336).

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

395804424 is a wasteful number, since it uses less digits than its factorization.

395804424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 395804424 is about 19894.8341033546. The cubic root of 395804424 is about 734.2211343110.

The spelling of 395804424 in words is "three hundred ninety-five million, eight hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 53 69 83 92 106 138 159 163 166 184 212 249 276 318 326 332 424 489 498 552 636 652 664 978 996 1219 1272 1304 1909 1956 1992 2438 3657 3749 3818 3912 4399 4876 5727 7314 7498 7636 8639 8798 9752 11247 11454 13197 13529 14628 14996 15272 17278 17596 22494 22908 25917 26394 27058 29256 29992 34556 35192 40587 44988 45816 51834 52788 54116 69112 81174 89976 101177 103668 105576 108232 162348 198697 202354 207336 303531 311167 324696 397394 404708 596091 607062 622334 717037 794788 809416 933501 1192182 1214124 1244668 1434074 1589576 1867002 2151111 2384364 2428248 2489336 2868148 3734004 4302222 4768728 5736296 7468008 8604444 16491851 17208888 32983702 49475553 65967404 98951106 131934808 197902212 395804424