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345126260 = 225192274001
BaseRepresentation
bin10100100100100…
…011010101110100
3220001102020020002
4110210203111310
51201323020020
654125130432
711360345003
oct2444432564
9801366202
10345126260
111678a6516
12976b9a18
135666aa2b
1433b9cc3a
1520474975
hex14923574

345126260 has 48 divisors (see below), whose sum is σ = 766463040. Its totient is φ = 130176000.

The previous prime is 345126251. The next prime is 345126263. The reversal of 345126260 is 62621543.

It is a super-2 number, since 2×3451262602 = 238224270683175200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345126263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84260 + ... + 88260.

It is an arithmetic number, because the mean of its divisors is an integer number (15967980).

Almost surely, 2345126260 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 345126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383231520).

345126260 is an abundant number, since it is smaller than the sum of its proper divisors (421336780).

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

345126260 is a wasteful number, since it uses less digits than its factorization.

345126260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 345126260 is about 18577.5741150453. The cubic root of 345126260 is about 701.4434568031.

The spelling of 345126260 in words is "three hundred forty-five million, one hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 380 454 908 1135 2270 4001 4313 4540 8002 8626 16004 17252 20005 21565 40010 43130 76019 80020 86260 152038 304076 380095 760190 908227 1520380 1816454 3632908 4541135 9082270 17256313 18164540 34512626 69025252 86281565 172563130 345126260