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345220 = 22541421
BaseRepresentation
bin1010100010010000100
3122112112221
41110102010
542021340
611222124
72635321
oct1242204
9575487
10345220
11216407
12147944
13c1195
148db48
156c44a
hex54484

345220 has 24 divisors (see below), whose sum is σ = 744408. Its totient is φ = 134400.

The previous prime is 345193. The next prime is 345221. The reversal of 345220 is 22543.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 311364 = 184^2 + 558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 345194 and 345203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345221) by changing a digit.

345220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (31017).

2345220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372204).

345220 is an abundant number, since it is smaller than the sum of its proper divisors (399188).

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

345220 is a wasteful number, since it uses less digits than its factorization.

345220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 345220 is about 587.5542528142. The cubic root of 345220 is about 70.1506957581.

Adding to 345220 its reverse (22543), we get a palindrome (367763).

It can be divided in two parts, 345 and 220, that added together give a palindrome (565).

The spelling of 345220 in words is "three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 421 820 842 1684 2105 4210 8420 17261 34522 69044 86305 172610 345220