Search a number
-
+
34243502500 = 225437012
BaseRepresentation
bin11111111001000100…
…100110000110100100
310021101111012011110101
4133321010212012210
51030112314040000
623421541033444
72321404653154
oct377104460644
9107344164411
1034243502500
1113582623299
1267780b5884
1332c959291c
14192bc66764
15d5644ce6a
hex7f91261a4

34243502500 has 45 divisors (see below), whose sum is σ = 74903930101. Its totient is φ = 13693700000.

The previous prime is 34243502453. The next prime is 34243502519. The reversal of 34243502500 is 520534243.

The square root of 34243502500 is 185050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 28956467556 + 5287034944 = 170166^2 + 72712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9250650 + ... + 9254350.

Almost surely, 234243502500 is an apocalyptic number.

34243502500 is the 185050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34243502500

34243502500 is an abundant number, since it is smaller than the sum of its proper divisors (40660427601).

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

34243502500 is an frugal number, since it uses more digits than its factorization.

34243502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Multiplying 34243502500 by its product of nonzero digits (14400), we get a square (493106436000000 = 222060002).

The spelling of 34243502500 in words is "thirty-four billion, two hundred forty-three million, five hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3701 7402 14804 18505 37010 74020 92525 185050 370100 462625 925250 1850500 2313125 4626250 9252500 13697401 27394802 54789604 68487005 136974010 273948020 342435025 684870050 1369740100 1712175125 3424350250 6848700500 8560875625 17121751250 34243502500