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394060512 = 25341531889
BaseRepresentation
bin10111011111001…
…110001011100000
31000110111100101210
4113133032023200
51301334414022
6103034030120
712523313316
oct2737161340
91013440353
10394060512
1119248954a
12abb78340
1363842001
143a49a0b6
15248dda0c
hex177ce2e0

394060512 has 96 divisors (see below), whose sum is σ = 1080203040. Its totient is φ = 125665280.

The previous prime is 394060507. The next prime is 394060517. The reversal of 394060512 is 215060493.

It is an interprime number because it is at equal distance from previous prime (394060507) and next prime (394060517).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3940605123 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 394060512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394060517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207664 + ... + 209552.

It is an arithmetic number, because the mean of its divisors is an integer number (11252115).

Almost surely, 2394060512 is an apocalyptic number.

394060512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394060512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540101520).

394060512 is an abundant number, since it is smaller than the sum of its proper divisors (686142528).

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

394060512 is a wasteful number, since it uses less digits than its factorization.

394060512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 394060512 is about 19850.9574580170. The cubic root of 394060512 is about 733.1412220370.

The spelling of 394060512 in words is "three hundred ninety-four million, sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 82 96 106 123 159 164 212 246 318 328 424 492 636 656 848 984 1272 1312 1696 1889 1968 2173 2544 3778 3936 4346 5088 5667 6519 7556 8692 11334 13038 15112 17384 22668 26076 30224 34768 45336 52152 60448 69536 77449 90672 100117 104304 154898 181344 200234 208608 232347 300351 309796 400468 464694 600702 619592 800936 929388 1201404 1239184 1601872 1858776 2402808 2478368 3203744 3717552 4104797 4805616 7435104 8209594 9611232 12314391 16419188 24628782 32838376 49257564 65676752 98515128 131353504 197030256 394060512