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345323260 = 225311394007
BaseRepresentation
bin10100100101010…
…011011011111100
3220001210020110101
4110211103123330
51201400321020
654133250444
711362125232
oct2445233374
9801706411
10345323260
11167a20527
1297793a24
13567095b9
1433c10952
15204b300a
hex149536fc

345323260 has 48 divisors (see below), whose sum is σ = 754145280. Its totient is φ = 132678720.

The previous prime is 345323189. The next prime is 345323263. The reversal of 345323260 is 62323543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345323263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84177 + ... + 88183.

It is an arithmetic number, because the mean of its divisors is an integer number (15711360).

Almost surely, 2345323260 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 345323260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377072640).

345323260 is an abundant number, since it is smaller than the sum of its proper divisors (408822020).

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

345323260 is a wasteful number, since it uses less digits than its factorization.

345323260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 345323260 is about 18582.8754502633. The cubic root of 345323260 is about 701.5768940339.

The spelling of 345323260 in words is "three hundred forty-five million, three hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 139 155 278 310 556 620 695 1390 2780 4007 4309 8014 8618 16028 17236 20035 21545 40070 43090 80140 86180 124217 248434 496868 556973 621085 1113946 1242170 2227892 2484340 2784865 5569730 11139460 17266163 34532326 69064652 86330815 172661630 345323260