Search a number
-
+
336231339828 = 223291638536949
BaseRepresentation
bin1001110010010001111…
…00110001011100110100
31012010212112120210101020
410321020330301130310
521002100210333303
6414243524301140
733202061142606
oct4711074613464
91163775523336
10336231339828
1111a65a90a15a
12551b72417b0
132592519a827
14123b8db9176
158b2d3baa53
hex4e48f31734

336231339828 has 96 divisors (see below), whose sum is σ = 817646928000. Its totient is φ = 107406964224.

The previous prime is 336231339749. The next prime is 336231339859. The reversal of 336231339828 is 828933132633.

It is a super-2 number, since 2×3362313398282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48382098 + ... + 48389046.

It is an arithmetic number, because the mean of its divisors is an integer number (8517155500).

Almost surely, 2336231339828 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 336231339828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408823464000).

336231339828 is an abundant number, since it is smaller than the sum of its proper divisors (481415588172).

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

336231339828 is a wasteful number, since it uses less digits than its factorization.

336231339828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7999 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The spelling of 336231339828 in words is "three hundred thirty-six billion, two hundred thirty-one million, three hundred thirty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 163 174 326 348 489 652 853 978 1706 1956 2559 3412 4727 5118 6949 9454 10236 13898 14181 18908 20847 24737 27796 28362 41694 49474 56724 74211 83388 98948 139039 148422 201521 278078 296844 403042 417117 556156 604563 806084 834234 1132687 1209126 1668468 2265374 2418252 3398061 4032131 4530748 5927497 6796122 8064262 11854994 12096393 13592244 16128524 17782491 23709988 24192786 32847923 35564982 48385572 65695846 71129964 98543769 131391692 171897413 197087538 343794826 394175076 515692239 687589652 966182011 1031384478 1932364022 2062768956 2898546033 3864728044 5797092066 11594184132 28019278319 56038556638 84057834957 112077113276 168115669914 336231339828