Search a number
-
+
34853812369 = 174334734929
BaseRepresentation
bin100000011101011100…
…101111100010010001
310022222000121010012121
4200131130233202101
51032340033443434
624002302054241
72342465342215
oct403534574221
9108860533177
1034853812369
1113866083112
12690857a381
133395b5b11c
141988d34945
15d8ed057b4
hex81d72f891

34853812369 has 8 divisors (see below), whose sum is σ = 36989273160. Its totient is φ = 32727822336.

The previous prime is 34853812361. The next prime is 34853812393. The reversal of 34853812369 is 96321835843.

It can be written as a sum of positive squares in 4 ways, for example, as 57760000 + 34796052369 = 7600^2 + 186537^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34853812369 - 23 = 34853812361 is a prime.

It is a super-2 number, since 2×348538123692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34853812361) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2360104 + ... + 2374825.

It is an arithmetic number, because the mean of its divisors is an integer number (4623659145).

Almost surely, 234853812369 is an apocalyptic number.

It is an amenable number.

34853812369 is a deficient number, since it is larger than the sum of its proper divisors (2135460791).

34853812369 is a wasteful number, since it uses less digits than its factorization.

34853812369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735379.

The product of its digits is 3732480, while the sum is 52.

The spelling of 34853812369 in words is "thirty-four billion, eight hundred fifty-three million, eight hundred twelve thousand, three hundred sixty-nine".

Divisors: 1 17 433 7361 4734929 80493793 2050224257 34853812369