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345345 = 357111323
BaseRepresentation
bin1010100010100000001
3122112201120
41110110001
542022340
611222453
72635560
oct1242401
9575646
10345345
11216510
12147a29
13c1260
148dbd7
156c4d0
hex54501

345345 has 64 divisors (see below), whose sum is σ = 774144. Its totient is φ = 126720.

The previous prime is 345329. The next prime is 345379. The reversal of 345345 is 543543.

It is a happy number.

It is not a de Polignac number, because 345345 - 24 = 345329 is a prime.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15004 + ... + 15026.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2345345 is an apocalyptic number.

345345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345345 is an abundant number, since it is smaller than the sum of its proper divisors (428799).

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

345345 is a wasteful number, since it uses less digits than its factorization.

345345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62.

The product of its digits is 3600, while the sum is 24.

The square root of 345345 is about 587.6606163425. The cubic root of 345345 is about 70.1591616434.

Adding to 345345 its reverse (543543), we get a palindrome (888888).

The spelling of 345345 in words is "three hundred forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 23 33 35 39 55 65 69 77 91 105 115 143 161 165 195 231 253 273 299 345 385 429 455 483 715 759 805 897 1001 1155 1265 1365 1495 1771 2093 2145 2415 3003 3289 3795 4485 5005 5313 6279 8855 9867 10465 15015 16445 23023 26565 31395 49335 69069 115115 345345