Search a number
-
+
34340604343 = 538389239367
BaseRepresentation
bin11111111110110111…
…000000100110110111
310021122020220110010221
4133332313000212313
51030312143314333
623435330155211
72323664215003
oct377667004667
9107566813127
1034340604343
1113622415351
1267a4722b07
133313730236
14193ab01703
15d5ec2dd2d
hex7fedc09b7

34340604343 has 32 divisors (see below), whose sum is σ = 36055756800. Its totient is φ = 32685709056.

The previous prime is 34340604341. The next prime is 34340604373.

34340604343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34340604343 - 21 = 34340604341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34340604299 and 34340604308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340604341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93570946 + ... + 93571312.

It is an arithmetic number, because the mean of its divisors is an integer number (1126742400).

Almost surely, 234340604343 is an apocalyptic number.

34340604343 is a deficient number, since it is larger than the sum of its proper divisors (1715152457).

34340604343 is a wasteful number, since it uses less digits than its factorization.

34340604343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 124416, while the sum is 34.

The spelling of 34340604343 in words is "thirty-four billion, three hundred forty million, six hundred four thousand, three hundred forty-three".

Divisors: 1 53 83 89 239 367 4399 4717 7387 12667 19451 19837 21271 30461 32663 87713 391511 1051361 1127363 1614433 1731139 1765493 2711029 4648789 7280179 7806457 93571129 143684537 385849487 413742221 647935931 34340604343