Search a number
-
+
340114413323412 = 22327213313671303633
BaseRepresentation
bin100110101010101010000111…
…0110010100000010010010100
31122121020121202020201122010100
41031111110032302200102110
5324034413304302322122
63203210223211054100
7131432312136663300
oct11525241662402224
91577217666648110
10340114413323412
1199409792613922
1232190550a41330
13117a1861615940
145ddb8a82bad00
15294c252d3eaac
hex135550eca0494

340114413323412 has 432 divisors, whose sum is σ = 1114802051930112. Its totient is φ = 86570342369280.

The previous prime is 340114413323389. The next prime is 340114413323501. The reversal of 340114413323412 is 214323314411043.

340114413323412 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 1 + 4 + 413 + 3 + 234 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260245548 + ... + 261549180.

Almost surely, 2340114413323412 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 340114413323412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557401025965056).

340114413323412 is an abundant number, since it is smaller than the sum of its proper divisors (774687638606700).

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

340114413323412 is a wasteful number, since it uses less digits than its factorization.

340114413323412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304068 (or 1304056 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 340114413323412 its reverse (214323314411043), we get a palindrome (554437727734455).

The spelling of 340114413323412 in words is "three hundred forty trillion, one hundred fourteen billion, four hundred thirteen million, three hundred twenty-three thousand, four hundred twelve".