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394043940 = 2235589911
BaseRepresentation
bin10111011111001…
…010001000100100
31000110110111200000
4113133022020210
51301333401230
6103033421300
712523214103
oct2737121044
91013414600
10394043940
11192478054
12abb6a830
13638375c4
143a49403a
15248d8b60
hex177ca224

394043940 has 144 divisors (see below), whose sum is σ = 1254839040. Its totient is φ = 103783680.

The previous prime is 394043933. The next prime is 394043953. The reversal of 394043940 is 49340493.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 394043895 and 394043904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432085 + ... + 432995.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2394043940 is an apocalyptic number.

394043940 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 394043940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

394043940 is an abundant number, since it is smaller than the sum of its proper divisors (860795100).

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

394043940 is a wasteful number, since it uses less digits than its factorization.

394043940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 394043940 is about 19850.5400430316. The cubic root of 394043940 is about 733.1309446081.

The spelling of 394043940 in words is "three hundred ninety-four million, forty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 89 90 108 135 162 178 180 243 267 270 324 356 405 445 486 534 540 801 810 890 911 972 1068 1215 1335 1602 1620 1780 1822 2403 2430 2670 2733 3204 3644 4005 4555 4806 4860 5340 5466 7209 8010 8199 9110 9612 10932 12015 13665 14418 16020 16398 18220 21627 24030 24597 27330 28836 32796 36045 40995 43254 48060 49194 54660 72090 73791 81079 81990 86508 98388 108135 122985 144180 147582 162158 163980 216270 221373 243237 245970 295164 324316 368955 405395 432540 442746 486474 491940 729711 737910 810790 885492 972948 1106865 1216185 1459422 1475820 1621580 2189133 2213730 2432370 2918844 3648555 4378266 4427460 4864740 6567399 7297110 8756532 10945665 13134798 14594220 19702197 21891330 26269596 32836995 39404394 43782660 65673990 78808788 98510985 131347980 197021970 394043940