Search a number
-
+
34345877854343 = 1129107667328697
BaseRepresentation
bin1111100111100110001011…
…10110010101100010000111
311111121102201021120221222212
413303303011312111202013
514000210324212314333
6201014140052014035
710143256604555246
oct763630566254207
9144542637527885
1034345877854343
11aa42006720a20
123a2856500131b
131621a57ab9153
1486a4c68d095d
153e8635e86448
hex1f3cc5d95887

34345877854343 has 8 divisors (see below), whose sum is σ = 38760238331280. Its totient is φ = 30146852034880.

The previous prime is 34345877854303. The next prime is 34345877854367.

It is a happy number.

34345877854343 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 34345877854343 - 220 = 34345876805767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345877854303) 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, 53833664030 + ... + 53833664667.

It is an arithmetic number, because the mean of its divisors is an integer number (4845029791410).

Almost surely, 234345877854343 is an apocalyptic number.

34345877854343 is a deficient number, since it is larger than the sum of its proper divisors (4414360476937).

34345877854343 is a wasteful number, since it uses less digits than its factorization.

34345877854343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107667328737.

The product of its digits is 1625702400, while the sum is 68.

The spelling of 34345877854343 in words is "thirty-four trillion, three hundred forty-five billion, eight hundred seventy-seven million, eight hundred fifty-four thousand, three hundred forty-three".

Divisors: 1 11 29 319 107667328697 1184340615667 3122352532213 34345877854343