Search a number
-
+
393281140 = 225723373301
BaseRepresentation
bin10111011100001…
…111111001110100
31000102000202022011
4113130033321310
51301134444030
6103005214004
712513556150
oct2734177164
91012022264
10393281140
11191aa6a3a
12ab861304
136362b345
143a336060
15247d7b2a
hex1770fe74

393281140 has 96 divisors (see below), whose sum is σ = 1011838464. Its totient is φ = 125452800.

The previous prime is 393281131. The next prime is 393281153. The reversal of 393281140 is 41182393.

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, 117490 + ... + 120790.

It is an arithmetic number, because the mean of its divisors is an integer number (10539984).

Almost surely, 2393281140 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 393281140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505919232).

393281140 is an abundant number, since it is smaller than the sum of its proper divisors (618557324).

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

393281140 is a wasteful number, since it uses less digits than its factorization.

393281140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 393281140 is about 19831.3171524233. The cubic root of 393281140 is about 732.6575680166.

The spelling of 393281140 in words is "three hundred ninety-three million, two hundred eighty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 37 46 70 74 92 115 140 148 161 185 230 259 322 370 460 518 644 740 805 851 1036 1295 1610 1702 2590 3220 3301 3404 4255 5180 5957 6602 8510 11914 13204 16505 17020 23107 23828 29785 33010 46214 59570 66020 75923 92428 115535 119140 122137 151846 231070 244274 303692 379615 462140 488548 531461 610685 759230 854959 1062922 1221370 1518460 1709918 2125844 2442740 2657305 2809151 3419836 4274795 5314610 5618302 8549590 10629220 11236604 14045755 17099180 19664057 28091510 39328114 56183020 78656228 98320285 196640570 393281140