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345354205 = 5722415849
BaseRepresentation
bin10100100101011…
…010111111011101
3220001211210220111
4110211122333131
51201402313310
654134050021
711362314400
oct2445327735
9801753814
10345354205
11167a417a9
12977a9911
135671a701
1433c1bd37
15204bc28a
hex1495afdd

345354205 has 24 divisors (see below), whose sum is σ = 484169400. Its totient is φ = 235791360.

The previous prime is 345354181. The next prime is 345354209. The reversal of 345354205 is 502453543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45441081 + 299913124 = 6741^2 + 17318^2 .

It is not a de Polignac number, because 345354205 - 25 = 345354173 is a prime.

It is a super-2 number, since 2×3453542052 = 238539053822364050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345354209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56121 + ... + 61969.

It is an arithmetic number, because the mean of its divisors is an integer number (20173725).

Almost surely, 2345354205 is an apocalyptic number.

345354205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345354205 is a deficient number, since it is larger than the sum of its proper divisors (138815195).

345354205 is a wasteful number, since it uses less digits than its factorization.

345354205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 345354205 is about 18583.7080530232. The cubic root of 345354205 is about 701.5978499044.

The spelling of 345354205 in words is "three hundred forty-five million, three hundred fifty-four thousand, two hundred five".

Divisors: 1 5 7 35 49 241 245 1205 1687 5849 8435 11809 29245 40943 59045 204715 286601 1409609 1433005 7048045 9867263 49336315 69070841 345354205