Search a number
-
+
394494840 = 233353111783
BaseRepresentation
bin10111100000111…
…000001101111000
31000111022102012000
4113200320031320
51301442313330
6103051221000
712530102505
oct2740701570
91014272160
10394494840
111927558a3
12b0147760
13639648cc
143a5704ac
1524977560
hex17838378

394494840 has 128 divisors (see below), whose sum is σ = 1357516800. Its totient is φ = 101796480.

The previous prime is 394494839. The next prime is 394494883. The reversal of 394494840 is 48494493.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27589 + ... + 39371.

It is an arithmetic number, because the mean of its divisors is an integer number (10605600).

Almost surely, 2394494840 is an apocalyptic number.

394494840 is a gapful number since it is divisible by the number (30) 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 394494840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678758400).

394494840 is an abundant number, since it is smaller than the sum of its proper divisors (963021960).

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

394494840 is a wasteful number, since it uses less digits than its factorization.

394494840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 394494840 is about 19861.8941694895. The cubic root of 394494840 is about 733.4104758150.

The spelling of 394494840 in words is "three hundred ninety-four million, four hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 11783 16740 23566 33480 35349 47132 58915 70698 94264 106047 117830 141396 176745 212094 235660 282792 318141 353490 365273 424188 471320 530235 636282 706980 730546 848376 1060470 1095819 1272564 1413960 1461092 1590705 1826365 2120940 2191638 2545128 2922184 3181410 3287457 3652730 4241880 4383276 5479095 6362820 6574914 7305460 8766552 9862371 10958190 12725640 13149828 14610920 16437285 19724742 21916380 26299656 32874570 39449484 43832760 49311855 65749140 78898968 98623710 131498280 197247420 394494840