Search a number
-
+
2034735208 = 2311412712081
BaseRepresentation
bin111100101000111…
…1001100001101000
312020210201020222021
41321101321201220
513131343011313
6533523234224
7101264651422
oct17121714150
95223636867
102034735208
11954611750
12489518974
1326571973c
1415433b812
15bd97478d
hex79479868

2034735208 has 64 divisors (see below), whose sum is σ = 4281258240. Its totient is φ = 898560000.

The previous prime is 2034735203. The next prime is 2034735217. The reversal of 2034735208 is 8025374302.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2034735203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976728 + ... + 978808.

It is an arithmetic number, because the mean of its divisors is an integer number (66894660).

Almost surely, 22034735208 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 2034735208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140629120).

2034735208 is an abundant number, since it is smaller than the sum of its proper divisors (2246523032).

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

2034735208 is a wasteful number, since it uses less digits than its factorization.

2034735208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2034735208 is about 45108.0392834803. The cubic root of 2034735208 is about 1267.1731632165.

It can be divided in two parts, 20347 and 35208, that added together give a palindrome (55555).

The spelling of 2034735208 in words is "two billion, thirty-four million, seven hundred thirty-five thousand, two hundred eight".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2081 2168 2981 3608 4162 5962 8324 11111 11924 16648 22222 22891 23848 44444 45782 85321 88888 91564 122221 170642 183128 244442 341284 488884 563951 682568 938531 977768 1127902 1877062 2255804 3754124 4511608 6203461 7508248 12406922 23121991 24813844 46243982 49627688 92487964 184975928 254341901 508683802 1017367604 2034735208