Search a number
-
+
320341404 = 223171679403
BaseRepresentation
bin10011000110000…
…000010110011100
3211022210000210110
4103012000112130
51124001411104
651442010020
710636566645
oct2306002634
9738700713
10320341404
11154908269
128b346910
13514a0736
143078a6cc
151d1cae89
hex1318059c

320341404 has 48 divisors (see below), whose sum is σ = 796255488. Its totient is φ = 99886848.

The previous prime is 320341393. The next prime is 320341409. The reversal of 320341404 is 404143023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320341409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29367 + ... + 38769.

It is an arithmetic number, because the mean of its divisors is an integer number (16588656).

Almost surely, 2320341404 is an apocalyptic number.

320341404 is a gapful number since it is divisible by the number (34) 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 320341404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398127744).

320341404 is an abundant number, since it is smaller than the sum of its proper divisors (475914084).

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

320341404 is a wasteful number, since it uses less digits than its factorization.

320341404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 320341404 is about 17898.0838080505. The cubic root of 320341404 is about 684.2335391446.

Adding to 320341404 its reverse (404143023), we get a palindrome (724484427).

The spelling of 320341404 in words is "three hundred twenty million, three hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 334 501 668 1002 2004 2839 5678 8517 9403 11356 17034 18806 28209 34068 37612 56418 112836 159851 319702 479553 639404 959106 1570301 1918212 3140602 4710903 6281204 9421806 18843612 26695117 53390234 80085351 106780468 160170702 320341404