Search a number
-
+
320041304 = 231171181283
BaseRepresentation
bin10011000100110…
…111000101011000
3211022012210010122
4103010313011120
51123412310204
651431332412
710634210012
oct2304670530
9738183118
10320041304
11154722850
128b221108
13513c6c6b
143070d1b2
151d16c0be
hex13137158

320041304 has 64 divisors (see below), whose sum is σ = 669876480. Its totient is φ = 142128000.

The previous prime is 320041261. The next prime is 320041313. The reversal of 320041304 is 403140023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130747 + ... + 1131029.

It is an arithmetic number, because the mean of its divisors is an integer number (10466820).

Almost surely, 2320041304 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 320041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334938240).

320041304 is an abundant number, since it is smaller than the sum of its proper divisors (349835176).

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

320041304 is a wasteful number, since it uses less digits than its factorization.

320041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 320041304 is about 17889.6982646438. The cubic root of 320041304 is about 684.0198060906.

Adding to 320041304 its reverse (403140023), we get a palindrome (723181327).

The spelling of 320041304 in words is "three hundred twenty million, forty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 71 88 142 181 283 284 362 566 568 724 781 1132 1448 1562 1991 2264 3113 3124 3982 6226 6248 7964 12452 12851 15928 20093 24904 25702 40186 51223 51404 80372 102446 102808 141361 160744 204892 221023 282722 409784 442046 563453 565444 884092 1126906 1130888 1768184 2253812 3636833 4507624 7273666 14547332 29094664 40005163 80010326 160020652 320041304