Search a number
-
+
320606340 = 223531971777
BaseRepresentation
bin10011000111000…
…001000010000100
3211100021111012220
4103013001002010
51124033400330
651451412340
710642052235
oct2307010204
9740244186
10320606340
11154a7931a
128b4540b0
13515641c2
143081908c
151d22e710
hex131c1084

320606340 has 96 divisors (see below), whose sum is σ = 936735744. Its totient is φ = 81838080.

The previous prime is 320606327. The next prime is 320606353. The reversal of 320606340 is 43606023.

It is an interprime number because it is at equal distance from previous prime (320606327) and next prime (320606353).

It is a self number, because there is not a number n which added to its sum of digits gives 320606340.

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, 179532 + ... + 181308.

It is an arithmetic number, because the mean of its divisors is an integer number (9757664).

Almost surely, 2320606340 is an apocalyptic number.

320606340 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 320606340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468367872).

320606340 is an abundant number, since it is smaller than the sum of its proper divisors (616129404).

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

320606340 is a wasteful number, since it uses less digits than its factorization.

320606340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 320606340 is about 17905.4835176267. The cubic root of 320606340 is about 684.4221172706.

The spelling of 320606340 in words is "three hundred twenty million, six hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 97 124 155 186 194 291 310 372 388 465 485 582 620 930 970 1164 1455 1777 1860 1940 2910 3007 3554 5331 5820 6014 7108 8885 9021 10662 12028 15035 17770 18042 21324 26655 30070 35540 36084 45105 53310 55087 60140 90210 106620 110174 165261 172369 180420 220348 275435 330522 344738 517107 550870 661044 689476 826305 861845 1034214 1101740 1652610 1723690 2068428 2585535 3305220 3447380 5171070 5343439 10342140 10686878 16030317 21373756 26717195 32060634 53434390 64121268 80151585 106868780 160303170 320606340