Search a number
-
+
34360606343 = 76617426109
BaseRepresentation
bin100000000000000011…
…010011111010000111
310021200122112122201202
4200000003103322013
51030332303400333
623441323013115
72324326222610
oct400003237207
9107618478652
1034360606343
1113632737128
1267ab36a19b
13331791453b
14193d62ac07
15d618805e8
hex8000d3e87

34360606343 has 8 divisors (see below), whose sum is σ = 39328678560. Its totient is φ = 29407387680.

The previous prime is 34360606337. The next prime is 34360606349.

It is a happy number.

34360606343 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34360606337) and next prime (34360606349).

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 34360606343 - 26 = 34360606279 is a prime.

It is a super-2 number, since 2×343606063432 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34360606297 and 34360606306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34360606349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3708428 + ... + 3717681.

It is an arithmetic number, because the mean of its divisors is an integer number (4916084820).

Almost surely, 234360606343 is an apocalyptic number.

34360606343 is a deficient number, since it is larger than the sum of its proper divisors (4968072217).

34360606343 is an equidigital number, since it uses as much as digits as its factorization.

34360606343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426777.

The product of its (nonzero) digits is 279936, while the sum is 38.

The spelling of 34360606343 in words is "thirty-four billion, three hundred sixty million, six hundred six thousand, three hundred forty-three".

Divisors: 1 7 661 4627 7426109 51982763 4908658049 34360606343