Search a number
-
+
34034550204732 = 223711375691749581
BaseRepresentation
bin1111011110100010010010…
…10001100110100100111100
311110111200010022200201020120
413233101021101212210330
513430110224323022412
6200215131224014540
710111625611321230
oct757211121464474
9143450108621216
1034034550204732
11a931a76347930
12399815a001450
1315cb5a1203bbc
148593d118c5c0
153e04b40b6b8c
hex1ef44946693c

34034550204732 has 192 divisors, whose sum is σ = 101864303170560. Its totient is φ = 8586098841600.

The previous prime is 34034550204731. The next prime is 34034550204737. The reversal of 34034550204732 is 23740205543043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34034550204731) 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 63 ways as a sum of consecutive naturals, for example, 18578182 + ... + 20327762.

It is an arithmetic number, because the mean of its divisors is an integer number (530543245680).

Almost surely, 234034550204732 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 34034550204732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50932151585280).

34034550204732 is an abundant number, since it is smaller than the sum of its proper divisors (67829752965828).

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

34034550204732 is a wasteful number, since it uses less digits than its factorization.

34034550204732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750212 (or 1750210 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 42.

Adding to 34034550204732 its reverse (23740205543043), we get a palindrome (57774755747775).

The spelling of 34034550204732 in words is "thirty-four trillion, thirty-four billion, five hundred fifty million, two hundred four thousand, seven hundred thirty-two".