Search a number
-
+
34381770534 = 23273173151247
BaseRepresentation
bin100000000001010100…
…000010111100100110
310021202010100220112200
4200001110002330212
51030403213124114
623443400355330
72325004141026
oct400124027446
9107663326480
1034381770534
11136436820a1
1267b6475b46
13331c114827
141942379a86
15d63661409
hex801502f26

34381770534 has 48 divisors (see below), whose sum is σ = 75951300672. Its totient is φ = 11238182784.

The previous prime is 34381770509. The next prime is 34381770539. The reversal of 34381770534 is 43507718343.

34381770534 is a `hidden beast` number, since 3 + 4 + 38 + 17 + 70 + 534 = 666.

It is a super-2 number, since 2×343817705342 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34381770534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381770539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151699 + ... + 302945.

It is an arithmetic number, because the mean of its divisors is an integer number (1582318764).

Almost surely, 234381770534 is an apocalyptic number.

34381770534 is an abundant number, since it is smaller than the sum of its proper divisors (41569530138).

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

34381770534 is a wasteful number, since it uses less digits than its factorization.

34381770534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151501 (or 151498 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 34381770534 in words is "thirty-four billion, three hundred eighty-one million, seven hundred seventy thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 73 146 173 219 346 438 519 657 1038 1314 1557 3114 12629 25258 37887 75774 113661 151247 227322 302494 453741 907482 1361223 2722446 11041031 22082062 26165731 33123093 52331462 66246186 78497193 99369279 156994386 198738558 235491579 470983158 1910098363 3820196726 5730295089 11460590178 17190885267 34381770534