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394299864 = 233272731531
BaseRepresentation
bin10111100000001…
…000100111011000
31000110221111201200
4113200020213120
51301420043424
6103043114200
712525331200
oct2740104730
91013844650
10394299864
11192632362
12b0072960
13638c6c3a
143a51d400
15249398c9
hex178089d8

394299864 has 144 divisors (see below), whose sum is σ = 1260085320. Its totient is φ = 111041280.

The previous prime is 394299847. The next prime is 394299869. The reversal of 394299864 is 468992493.

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 394299864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394299869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256779 + ... + 258309.

Almost surely, 2394299864 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 394299864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630042660).

394299864 is an abundant number, since it is smaller than the sum of its proper divisors (865785456).

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

394299864 is a wasteful number, since it uses less digits than its factorization.

394299864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 394299864 is about 19856.9852696727. The cubic root of 394299864 is about 733.2896284330.

The spelling of 394299864 in words is "three hundred ninety-four million, two hundred ninety-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 73 84 98 126 146 147 168 196 219 252 292 294 392 438 441 504 511 584 588 657 876 882 1022 1176 1314 1531 1533 1752 1764 2044 2628 3062 3066 3528 3577 4088 4593 4599 5256 6124 6132 7154 9186 9198 10717 10731 12248 12264 13779 14308 18372 18396 21434 21462 27558 28616 32151 32193 36744 36792 42868 42924 55116 64302 64386 75019 85736 85848 96453 110232 111763 128604 128772 150038 192906 223526 225057 257208 257544 300076 335289 385812 447052 450114 600152 670578 675171 771624 782341 894104 900228 1005867 1341156 1350342 1564682 1800456 2011734 2347023 2682312 2700684 3129364 4023468 4694046 5401368 5476387 6258728 7041069 8046936 9388092 10952774 14082138 16429161 18776184 21905548 28164276 32858322 43811096 49287483 56328552 65716644 98574966 131433288 197149932 394299864