Search a number
-
+
320315340 = 223547971171
BaseRepresentation
bin10011000101111…
…001111111001100
3211022201201001010
4103011321333030
51124000042330
651441245220
710636430652
oct2305717714
9738651033
10320315340
1115489a724
128b333810
1351491907
1430780dd2
151d1c33b0
hex13179fcc

320315340 has 96 divisors (see below), whose sum is σ = 926198784. Its totient is φ = 82667520.

The previous prime is 320315311. The next prime is 320315363. The reversal of 320315340 is 43513023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272955 + ... + 274125.

It is an arithmetic number, because the mean of its divisors is an integer number (9647904).

Almost surely, 2320315340 is an apocalyptic number.

320315340 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 320315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463099392).

320315340 is an abundant number, since it is smaller than the sum of its proper divisors (605883444).

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

320315340 is a wasteful number, since it uses less digits than its factorization.

320315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 320315340 is about 17897.3556706012. The cubic root of 320315340 is about 684.2149814991.

Adding to 320315340 its reverse (43513023), we get a palindrome (363828363).

The spelling of 320315340 in words is "three hundred twenty million, three hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 97 141 188 194 235 282 291 388 470 485 564 582 705 940 970 1164 1171 1410 1455 1940 2342 2820 2910 3513 4559 4684 5820 5855 7026 9118 11710 13677 14052 17565 18236 22795 23420 27354 35130 45590 54708 55037 68385 70260 91180 110074 113587 136770 165111 220148 227174 273540 275185 330222 340761 454348 550370 567935 660444 681522 825555 1100740 1135870 1363044 1651110 1703805 2271740 3302220 3407610 5338589 6815220 10677178 16015767 21354356 26692945 32031534 53385890 64063068 80078835 106771780 160157670 320315340