Search a number
-
+
328492260 = 22355257263
BaseRepresentation
bin10011100101000…
…110010011100100
3211220010010200000
4103211012103210
51133043223020
652332421300
711066065245
oct2345062344
9756103600
10328492260
11159475108
1292017830
1353095725
14318acccc
151dc8b090
hex139464e4

328492260 has 144 divisors (see below), whose sum is σ = 1041296256. Its totient is φ = 86925312.

The previous prime is 328492249. The next prime is 328492261. The reversal of 328492260 is 62294823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (328492261) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1248889 + ... + 1249151.

It is an arithmetic number, because the mean of its divisors is an integer number (7231224).

Almost surely, 2328492260 is an apocalyptic number.

328492260 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 328492260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520648128).

328492260 is an abundant number, since it is smaller than the sum of its proper divisors (712803996).

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

328492260 is a wasteful number, since it uses less digits than its factorization.

328492260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 328492260 is about 18124.3554368148. The cubic root of 328492260 is about 689.9882795741.

The spelling of 328492260 in words is "three hundred twenty-eight million, four hundred ninety-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 257 263 270 324 405 486 514 526 540 771 789 810 972 1028 1052 1215 1285 1315 1542 1578 1620 2313 2367 2430 2570 2630 3084 3156 3855 3945 4626 4734 4860 5140 5260 6939 7101 7710 7890 9252 9468 11565 11835 13878 14202 15420 15780 20817 21303 23130 23670 27756 28404 34695 35505 41634 42606 46260 47340 62451 63909 67591 69390 71010 83268 85212 104085 106515 124902 127818 135182 138780 142020 202773 208170 213030 249804 255636 270364 312255 319545 337955 405546 416340 426060 608319 624510 639090 675910 811092 1013865 1216638 1249020 1278180 1351820 1824957 2027730 2433276 3041595 3649914 4055460 5474871 6083190 7299828 9124785 10949742 12166380 16424613 18249570 21899484 27374355 32849226 36499140 54748710 65698452 82123065 109497420 164246130 328492260