Search a number
-
+
34351448293 = 1783206311801
BaseRepresentation
bin11111111111100000…
…011000000011100101
310021200000022101020201
4133333200120003211
51030322432321133
623440354430501
72324155331011
oct377740300345
9107600271221
1034351448293
1113628551598
1267a8292431
133315a58c86
14193c325541
15d60b71d7d
hex7ff8180e5

34351448293 has 16 divisors (see below), whose sum is σ = 36831303936. Its totient is φ = 31923059200.

The previous prime is 34351448291. The next prime is 34351448353. The reversal of 34351448293 is 39284415343.

It is a cyclic number.

It is not a de Polignac number, because 34351448293 - 21 = 34351448291 is a prime.

It is a super-2 number, since 2×343514482932 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351448291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904993 + ... + 2916793.

It is an arithmetic number, because the mean of its divisors is an integer number (2301956496).

Almost surely, 234351448293 is an apocalyptic number.

It is an amenable number.

34351448293 is a deficient number, since it is larger than the sum of its proper divisors (2479855643).

34351448293 is a wasteful number, since it uses less digits than its factorization.

34351448293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13964.

The product of its digits is 1244160, while the sum is 46.

The spelling of 34351448293 in words is "thirty-four billion, three hundred fifty-one million, four hundred forty-eight thousand, two hundred ninety-three".

Divisors: 1 17 83 1411 2063 11801 35071 171229 200617 979483 2910893 16651211 24345463 413872871 2020673429 34351448293