Search a number
-
+
320945345 = 5726132137
BaseRepresentation
bin10011001000010…
…011110011000001
3211100220201020122
4103020103303001
51124130222340
651502550025
710644663500
oct2310236301
9740821218
10320945345
1115518aa96
128b598315
13516525b6
14308a6837
151d299db5
hex13213cc1

320945345 has 24 divisors (see below), whose sum is σ = 448954344. Its totient is φ = 219614976.

The previous prime is 320945311. The next prime is 320945351. The reversal of 320945345 is 543549023.

It can be written as a sum of positive squares in 4 ways, for example, as 33269824 + 287675521 = 5768^2 + 16961^2 .

It is not a de Polignac number, because 320945345 - 210 = 320944321 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149117 + ... + 151253.

It is an arithmetic number, because the mean of its divisors is an integer number (18706431).

Almost surely, 2320945345 is an apocalyptic number.

320945345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

320945345 is a deficient number, since it is larger than the sum of its proper divisors (128008999).

320945345 is a wasteful number, since it uses less digits than its factorization.

320945345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 320945345 is about 17914.9475299260. The cubic root of 320945345 is about 684.6632653285.

The spelling of 320945345 in words is "three hundred twenty million, nine hundred forty-five thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 613 2137 3065 4291 10685 14959 21455 30037 74795 104713 150185 523565 1309981 6549905 9169867 45849335 64189069 320945345