Search a number
-
+
394642368 = 2634269283
BaseRepresentation
bin10111100001011…
…100001111000000
31000111120220120000
4113201130033000
51302012023433
6103054320000
712531255561
oct2741341700
91014526500
10394642368
1119284671a
12b01b9000
13639b6ac3
143a5ac168
15249a6113
hex1785c3c0

394642368 has 140 divisors (see below), whose sum is σ = 1178341560. Its totient is φ = 130595328.

The previous prime is 394642321. The next prime is 394642379. The reversal of 394642368 is 863246493.

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

Its product of digits (746496) is a multiple of the sum of its prime factors (576).

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 19 ways as a sum of consecutive naturals, for example, 1394355 + ... + 1394637.

Almost surely, 2394642368 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 394642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589170780).

394642368 is an abundant number, since it is smaller than the sum of its proper divisors (783699192).

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

394642368 is a wasteful number, since it uses less digits than its factorization.

394642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 394642368 is about 19865.6076675243. The cubic root of 394642368 is about 733.5018881605.

The spelling of 394642368 in words is "three hundred ninety-four million, six hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 269 283 288 324 432 538 566 576 648 807 849 864 1076 1132 1296 1614 1698 1728 2152 2264 2421 2547 2592 3228 3396 4304 4528 4842 5094 5184 6456 6792 7263 7641 8608 9056 9684 10188 12912 13584 14526 15282 17216 18112 19368 20376 21789 22923 25824 27168 29052 30564 38736 40752 43578 45846 51648 54336 58104 61128 76127 77472 81504 87156 91692 116208 122256 152254 154944 163008 174312 183384 228381 232416 244512 304508 348624 366768 456762 464832 489024 609016 685143 697248 733536 913524 1218032 1370286 1394496 1467072 1827048 2055429 2436064 2740572 3654096 4110858 4872128 5481144 6166287 7308192 8221716 10962288 12332574 14616384 16443432 21924576 24665148 32886864 43849152 49330296 65773728 98660592 131547456 197321184 394642368