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345117213 = 3374144537
BaseRepresentation
bin10100100100100…
…001001000011101
3220001101202211000
4110210201020131
51201322222323
654125020513
711360306430
oct2444411035
9801352730
10345117213
1116789a741
12976b4739
135666688c
1433b99817
1520471e43
hex1492121d

345117213 has 32 divisors (see below), whose sum is σ = 598590720. Its totient is φ = 192395520.

The previous prime is 345117163. The next prime is 345117233. The reversal of 345117213 is 312711543.

It is not a de Polignac number, because 345117213 - 28 = 345116957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345117233) 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 31 ways as a sum of consecutive naturals, for example, 14520 + ... + 30017.

It is an arithmetic number, because the mean of its divisors is an integer number (18705960).

Almost surely, 2345117213 is an apocalyptic number.

It is an amenable number.

345117213 is a deficient number, since it is larger than the sum of its proper divisors (253473507).

345117213 is a wasteful number, since it uses less digits than its factorization.

345117213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44594 (or 44588 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 345117213 is about 18577.3306209477. The cubic root of 345117213 is about 701.4373276314.

Adding to 345117213 its reverse (312711543), we get a palindrome (657828756).

The spelling of 345117213 in words is "three hundred forty-five million, one hundred seventeen thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2583 7749 44537 133611 311759 400833 935277 1202499 1826017 2805831 5478051 8417493 12782119 16434153 38346357 49302459 115039071 345117213