Search a number
-
+
34356465343 = 163704329927
BaseRepresentation
bin11111111111110011…
…100000111010111111
310021200100202021100101
4133333303200322333
51030330223342333
623441054141531
72324246064664
oct377763407277
9107610667311
1034356465343
1113630368a12
1267a9ab18a7
133316ac4745
14193cc6da6b
15d6131367d
hex7ffce0ebf

34356465343 has 8 divisors (see below), whose sum is σ = 34573304448. Its totient is φ = 34139700504.

The previous prime is 34356465337. The next prime is 34356465359.

34356465343 is nontrivially palindromic in base 10.

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 34356465343 - 225 = 34322910911 is a prime.

It is a super-4 number, since 4×343564653434 (a number of 43 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34356465293 and 34356465302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356465443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1133046 + ... + 1162972.

It is an arithmetic number, because the mean of its divisors is an integer number (4321663056).

Almost surely, 234356465343 is an apocalyptic number.

34356465343 is a deficient number, since it is larger than the sum of its proper divisors (216839105).

34356465343 is a wasteful number, since it uses less digits than its factorization.

34356465343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37133.

The product of its digits is 4665600, while the sum is 46.

The spelling of 34356465343 in words is "thirty-four billion, three hundred fifty-six million, four hundred sixty-five thousand, three hundred forty-three".

Divisors: 1 163 7043 29927 1148009 4878101 210775861 34356465343