Search a number
-
+
345117160 = 23519734373
BaseRepresentation
bin10100100100100…
…001000111101000
3220001101202202001
4110210201013220
51201322222120
654125020344
711360306323
oct2444410750
9801352661
10345117160
1116789a6a3
12976b46b4
135666684b
1433b997ba
1520471e0a
hex149211e8

345117160 has 32 divisors (see below), whose sum is σ = 777084840. Its totient is φ = 137945344.

The previous prime is 345117151. The next prime is 345117163. The reversal of 345117160 is 61711543.

It can be written as a sum of positive squares in 4 ways, for example, as 242175844 + 102941316 = 15562^2 + 10146^2 .

It is not an unprimeable number, because it can be changed into a prime (345117163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76734 + ... + 81106.

Almost surely, 2345117160 is an apocalyptic number.

It is an amenable number.

345117160 is an abundant number, since it is smaller than the sum of its proper divisors (431967680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345117160 is a wasteful number, since it uses less digits than its factorization.

345117160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 345117160 is about 18577.3291944779. The cubic root of 345117160 is about 701.4372917245.

The spelling of 345117160 in words is "three hundred forty-five million, one hundred seventeen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1973 3946 4373 7892 8746 9865 15784 17492 19730 21865 34984 39460 43730 78920 87460 174920 8627929 17255858 34511716 43139645 69023432 86279290 172558580 345117160