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394073328 = 2431117431021
BaseRepresentation
bin10111011111010…
…001010011110000
31000110111222222110
4113133101103300
51301340321303
6103034205320
712523365555
oct2737212360
91013458873
10394073328
11192498140
12abb83840
1363847aac
143a4a0a2c
15248e2703
hex177d14f0

394073328 has 160 divisors (see below), whose sum is σ = 1204422912. Its totient is φ = 109670400.

The previous prime is 394073327. The next prime is 394073341. The reversal of 394073328 is 823370493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394073327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385458 + ... + 386478.

Almost surely, 2394073328 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 394073328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602211456).

394073328 is an abundant number, since it is smaller than the sum of its proper divisors (810349584).

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

394073328 is a wasteful number, since it uses less digits than its factorization.

394073328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 394073328 is about 19851.2802609807. The cubic root of 394073328 is about 733.1491699162.

The spelling of 394073328 in words is "three hundred ninety-four million, seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 43 44 48 51 66 68 86 88 102 129 132 136 172 176 187 204 258 264 272 344 374 408 473 516 528 561 688 731 748 816 946 1021 1032 1122 1419 1462 1496 1892 2042 2064 2193 2244 2838 2924 2992 3063 3784 4084 4386 4488 5676 5848 6126 7568 8041 8168 8772 8976 11231 11352 11696 12252 16082 16336 17357 17544 22462 22704 24123 24504 32164 33693 34714 35088 43903 44924 48246 49008 52071 64328 67386 69428 87806 89848 96492 104142 128656 131709 134772 138856 175612 179696 190927 192984 208284 263418 269544 277712 351224 381854 385968 416568 482933 526836 539088 572781 702448 746351 763708 833136 965866 1053672 1145562 1448799 1492702 1527416 1931732 2107344 2239053 2291124 2897598 2985404 3054832 3863464 4478106 4582248 5795196 5970808 7726928 8209861 8956212 9164496 11590392 11941616 16419722 17912424 23180784 24629583 32839444 35824848 49259166 65678888 98518332 131357776 197036664 394073328