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394000272 = 243237731013
BaseRepresentation
bin10111011110111…
…111011110010000
31000110101021202200
4113132333132100
51301331002042
6103032443200
712522642561
oct2736773620
91013337680
10394000272
11192448266
12abb49500
1363820773
143a482168
15248cac4c
hex177bf790

394000272 has 120 divisors (see below), whose sum is σ = 1149101304. Its totient is φ = 125908992.

The previous prime is 394000259. The next prime is 394000291. The reversal of 394000272 is 272000493.

394000272 is a `hidden beast` number, since 394 + 0 + 0 + 0 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30869136 + 363131136 = 5556^2 + 19056^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388438 + ... + 389450.

Almost surely, 2394000272 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 394000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574550652).

394000272 is an abundant number, since it is smaller than the sum of its proper divisors (755101032).

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

394000272 is a wasteful number, since it uses less digits than its factorization.

394000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 394000272 is about 19849.4400928590. The cubic root of 394000272 is about 733.1038617192.

The spelling of 394000272 in words is "three hundred ninety-four million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 73 74 111 144 146 148 219 222 292 296 333 438 444 584 592 657 666 876 888 1013 1168 1314 1332 1752 1776 2026 2628 2664 2701 3039 3504 4052 5256 5328 5402 6078 8103 8104 9117 10512 10804 12156 16206 16208 18234 21608 24309 24312 32412 36468 37481 43216 48618 48624 64824 72936 73949 74962 97236 112443 129648 145872 147898 149924 194472 221847 224886 295796 299848 337329 388944 443694 449772 591592 599696 665541 674658 887388 899544 1183184 1331082 1349316 1774776 1799088 2662164 2698632 2736113 3549552 5324328 5397264 5472226 8208339 10648656 10944452 16416678 21888904 24625017 32833356 43777808 49250034 65666712 98500068 131333424 197000136 394000272