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345213 = 32112317
BaseRepresentation
bin1010100010001111101
3122112112200
41110101331
542021323
611222113
72635311
oct1242175
9575480
10345213
11216400
12147939
13c118b
148db41
156c443
hex5447d

345213 has 18 divisors (see below), whose sum is σ = 549822. Its totient is φ = 208560.

The previous prime is 345193. The next prime is 345221. The reversal of 345213 is 312543.

It can be written as a sum of positive squares in only one way, i.e., 213444 + 131769 = 462^2 + 363^2 .

It is not a de Polignac number, because 345213 - 25 = 345181 is a prime.

It is a Curzon number.

345213 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 931 + ... + 1247.

2345213 is an apocalyptic number.

345213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345213 is a deficient number, since it is larger than the sum of its proper divisors (204609).

345213 is a wasteful number, since it uses less digits than its factorization.

345213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 345213 is about 587.5482958872. The cubic root of 345213 is about 70.1502216081.

Adding to 345213 its reverse (312543), we get a palindrome (657756).

The spelling of 345213 in words is "three hundred forty-five thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 121 317 363 951 1089 2853 3487 10461 31383 38357 115071 345213