Search a number
-
+
328424461014 = 231321771268343
BaseRepresentation
bin1001100011101111001…
…11111001001011010110
31011101201110120020221110
410301313213321023112
520340103130223024
6410513123555450
732504443600146
oct4616747711326
91141643506843
10328424461014
111173140565a1
125379882bb86
1324c7c973a00
1411c78222926
158822d1b629
hex4c779f92d6

328424461014 has 96 divisors (see below), whose sum is σ = 763711317504. Its totient is φ = 93769428480.

The previous prime is 328424460887. The next prime is 328424461063. The reversal of 328424461014 is 410164424823.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089727 + ... + 1358069.

It is an arithmetic number, because the mean of its divisors is an integer number (7955326224).

Almost surely, 2328424461014 is an apocalyptic number.

328424461014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328424461014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381855658752).

328424461014 is an abundant number, since it is smaller than the sum of its proper divisors (435286856490).

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

328424461014 is a wasteful number, since it uses less digits than its factorization.

328424461014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268462 (or 268449 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

Adding to 328424461014 its reverse (410164424823), we get a palindrome (738588885837).

The spelling of 328424461014 in words is "three hundred twenty-eight billion, four hundred twenty-four million, four hundred sixty-one thousand, fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 71 78 102 142 169 213 221 338 426 442 507 663 923 1014 1207 1326 1846 2414 2769 2873 3621 5538 5746 7242 8619 11999 15691 17238 23998 31382 35997 47073 71994 94146 203983 268343 407966 536686 611949 805029 1223898 1610058 3488459 4561831 6976918 9123662 10465377 13685493 19052353 20930754 27370986 38104706 45349967 57157059 59303803 90699934 114314118 118607606 136049901 177911409 247680589 272099802 323890001 355822818 495361178 647780002 743041767 770949439 971670003 1486083534 1541898878 1943340006 2312848317 3219847657 4210570013 4625696634 6439695314 8421140026 9659542971 12631710039 19319085942 25263420078 54737410169 109474820338 164212230507 328424461014