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394829424 = 243311194373
BaseRepresentation
bin10111100010001…
…001111001110000
31000111221102011000
4113202021321300
51302034020144
6103102322000
712532665123
oct2742117160
91014842130
10394829424
11192964210
12b0289300
1363a50ca2
143a61a3ba
15249e1769
hex17889e70

394829424 has 160 divisors (see below), whose sum is σ = 1301702400. Its totient is φ = 113322240.

The previous prime is 394829417. The next prime is 394829453. The reversal of 394829424 is 424928493.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 394829424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88102 + ... + 92474.

It is an arithmetic number, because the mean of its divisors is an integer number (8135640).

Almost surely, 2394829424 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 394829424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650851200).

394829424 is an abundant number, since it is smaller than the sum of its proper divisors (906872976).

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

394829424 is a wasteful number, since it uses less digits than its factorization.

394829424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4408 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 394829424 is about 19870.3151459659. The cubic root of 394829424 is about 733.6177603763.

The spelling of 394829424 in words is "three hundred ninety-four million, eight hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3762 4104 4373 4752 5016 5643 7524 8208 8746 10032 11286 13119 15048 17492 22572 26238 30096 34984 39357 45144 48103 52476 69968 78714 83087 90288 96206 104952 118071 144309 157428 166174 192412 209904 236142 249261 288618 314856 332348 384824 432927 472284 498522 577236 629712 664696 747783 769648 865854 913957 944568 997044 1154472 1298781 1329392 1495566 1731708 1827914 1889136 1994088 2243349 2308944 2597562 2741871 2991132 3463416 3655828 3988176 4486698 5195124 5483742 5982264 6926832 7311656 8225613 8973396 10390248 10967484 11964528 14623312 16451226 17946792 20780496 21934968 24676839 32902452 35893584 43869936 49353678 65804904 98707356 131609808 197414712 394829424