Search a number
-
+
353233505240 = 2357114310924469
BaseRepresentation
bin1010010001111100101…
…10111000101111011000
31020202202110011021200022
411020332112320233120
521241410234131430
6430135003530012
734343312153150
oct5107626705730
91222673137608
10353233505240
11126895117730
1258561229908
132740476b735
141314d09d760
1592c5d6e4e5
hex523e5b8bd8

353233505240 has 256 divisors, whose sum is σ = 1023276672000. Its totient is φ = 106547374080.

The previous prime is 353233505203. The next prime is 353233505263. The reversal of 353233505240 is 42505332353.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 353233505240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14423726 + ... + 14448194.

It is an arithmetic number, because the mean of its divisors is an integer number (3997174500).

Almost surely, 2353233505240 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 353233505240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511638336000).

353233505240 is an abundant number, since it is smaller than the sum of its proper divisors (670043166760).

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

353233505240 is a wasteful number, since it uses less digits than its factorization.

353233505240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24650 (or 24646 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 35.

Adding to 353233505240 its reverse (42505332353), we get a palindrome (395738837593).

The spelling of 353233505240 in words is "three hundred fifty-three billion, two hundred thirty-three million, five hundred five thousand, two hundred forty".