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345345220 = 225119716183
BaseRepresentation
bin10100100101011…
…000110011000100
3220001211100120201
4110211120303010
51201402021340
654133540244
711362246243
oct2445306304
9801740521
10345345220
11167a35a80
12977a4684
13567165ac
1433c1895a
15204b979a
hex14958cc4

345345220 has 48 divisors (see below), whose sum is σ = 799360128. Its totient is φ = 124277760.

The previous prime is 345345167. The next prime is 345345223. The reversal of 345345220 is 22543543.

It is not an unprimeable number, because it can be changed into a prime (345345223) 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, 13249 + ... + 29431.

It is an arithmetic number, because the mean of its divisors is an integer number (16653336).

Almost surely, 2345345220 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 345345220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399680064).

345345220 is an abundant number, since it is smaller than the sum of its proper divisors (454014908).

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

345345220 is a wasteful number, since it uses less digits than its factorization.

345345220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16300 (or 16298 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 345345220 is about 18583.4663074465. The cubic root of 345345220 is about 701.5917654156.

Adding to 345345220 its reverse (22543543), we get a palindrome (367888763).

The spelling of 345345220 in words is "three hundred forty-five million, three hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 16183 21340 32366 64732 80915 161830 178013 323660 356026 712052 890065 1569751 1780130 3139502 3560260 6279004 7848755 15697510 17267261 31395020 34534522 69069044 86336305 172672610 345345220