Search a number
-
+
345217314135 = 35296311257691
BaseRepresentation
bin1010000011000001000…
…11100010110101010111
31020000001210021120202110
411001200203202311113
521124001113023020
6422331325042103
733640543516461
oct5014043426527
91200053246673
10345217314135
111234511a0701
1256aa46b6333
1326727a79aa5
14129cc5bd131
158ea72268e0
hex50608e2d57

345217314135 has 32 divisors (see below), whose sum is σ = 572300167680. Its totient is φ = 177485212800.

The previous prime is 345217314089. The next prime is 345217314191. The reversal of 345217314135 is 531413712543.

It is not a de Polignac number, because 345217314135 - 27 = 345217314007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345217314093 and 345217314102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354361 + ... + 903330.

It is an arithmetic number, because the mean of its divisors is an integer number (17884380240).

Almost surely, 2345217314135 is an apocalyptic number.

345217314135 is a deficient number, since it is larger than the sum of its proper divisors (227082853545).

345217314135 is a wasteful number, since it uses less digits than its factorization.

345217314135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258359.

The product of its digits is 151200, while the sum is 39.

The spelling of 345217314135 in words is "three hundred forty-five billion, two hundred seventeen million, three hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 15 29 87 145 435 631 1893 3155 9465 18299 54897 91495 274485 1257691 3773073 6288455 18865365 36473039 109419117 182365195 547095585 793603021 2380809063 3968015105 11904045315 23014487609 69043462827 115072438045 345217314135