Search a number
-
+
344321552352 = 2535849613213
BaseRepresentation
bin1010000001010110010…
…10011110111111100000
31012220202100202011121010
411000223022132333200
521120132304133402
6422102405500520
733606415622211
oct5005312367740
91186670664533
10344321552352
111230315a3608
1256894711740
132661430852b
1412945647408
158e53785a6c
hex502b29efe0

344321552352 has 48 divisors (see below), whose sum is σ = 904000078800. Its totient is φ = 114754040832.

The previous prime is 344321552321. The next prime is 344321552357. The reversal of 344321552352 is 253255123443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 344321552352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344321552357) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 254898 + ... + 868110.

It is an arithmetic number, because the mean of its divisors is an integer number (18833334975).

Almost surely, 2344321552352 is an apocalyptic number.

344321552352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344321552352 is an abundant number, since it is smaller than the sum of its proper divisors (559678526448).

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

344321552352 is a wasteful number, since it uses less digits than its factorization.

344321552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619075 (or 619067 counting only the distinct ones).

The product of its digits is 432000, while the sum is 39.

Adding to 344321552352 its reverse (253255123443), we get a palindrome (597576675795).

The spelling of 344321552352 in words is "three hundred forty-four billion, three hundred twenty-one million, five hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5849 11698 17547 23396 35094 46792 70188 93584 140376 187168 280752 561504 613213 1226426 1839639 2452852 3679278 4905704 7358556 9811408 14717112 19622816 29434224 58868448 3586682837 7173365674 10760048511 14346731348 21520097022 28693462696 43040194044 57386925392 86080388088 114773850784 172160776176 344321552352