Search a number
-
+
328399488 = 2733167569
BaseRepresentation
bin10011100100101…
…111101010000000
3211212221102102000
4103210233222000
51133032240423
652330424000
711065230624
oct2344575200
9755842360
10328399488
1115941143a
1291b92000
1353062431
1431887184
151dc6d843
hex1392fa80

328399488 has 128 divisors (see below), whose sum is σ = 976752000. Its totient is φ = 108619776.

The previous prime is 328399459. The next prime is 328399493. The reversal of 328399488 is 884993823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 576868 + ... + 577436.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2328399488 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 328399488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376000).

328399488 is an abundant number, since it is smaller than the sum of its proper divisors (648352512).

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

328399488 is a wasteful number, since it uses less digits than its factorization.

328399488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 741 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 328399488 is about 18121.7959374892. The cubic root of 328399488 is about 689.9233185106.

The spelling of 328399488 in words is "three hundred twenty-eight million, three hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 288 334 384 432 501 569 576 668 864 1002 1138 1152 1336 1503 1707 1728 2004 2276 2672 3006 3414 3456 4008 4509 4552 5121 5344 6012 6828 8016 9018 9104 10242 10688 12024 13656 15363 16032 18036 18208 20484 21376 24048 27312 30726 32064 36072 36416 40968 48096 54624 61452 64128 72144 72832 81936 95023 96192 109248 122904 144288 163872 190046 192384 218496 245808 285069 288576 327744 380092 491616 570138 577152 655488 760184 855207 983232 1140276 1520368 1710414 1966464 2280552 2565621 3040736 3420828 4561104 5131242 6081472 6841656 9122208 10262484 12162944 13683312 18244416 20524968 27366624 36488832 41049936 54733248 82099872 109466496 164199744 328399488