Search a number
-
+
342411012343400 = 2352711131924737797
BaseRepresentation
bin100110111011010111100011…
…0110000100000011001101000
31122220101011200011221211022212
41031312233012300200121220
5324340030223124442100
63212125240354304252
7132060244042365260
oct11566570660403150
91586334604854285
10342411012343400
119a114770916320
12324a166b288088
131190a2b21cb9b0
14607aad23287a0
15298bd69b2d635
hex1376bc6c20668

342411012343400 has 576 divisors, whose sum is σ = 1128115944708480. Its totient is φ = 93330790963200.

The previous prime is 342411012343399. The next prime is 342411012343403. The reversal of 342411012343400 is 4343210114243.

It is not an unprimeable number, because it can be changed into a prime (342411012343403) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 69903302 + ... + 74641098.

It is an arithmetic number, because the mean of its divisors is an integer number (1958534626230).

Almost surely, 2342411012343400 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 342411012343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564057972354240).

342411012343400 is an abundant number, since it is smaller than the sum of its proper divisors (785704932365080).

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

342411012343400 is a wasteful number, since it uses less digits than its factorization.

342411012343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737882 (or 4737854 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 342411012343400 its reverse (4343210114243), we get a palindrome (346754222457643).

The spelling of 342411012343400 in words is "three hundred forty-two trillion, four hundred eleven billion, twelve million, three hundred forty-three thousand, four hundred".