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345545130 = 23574167599
BaseRepresentation
bin10100100110001…
…001100110101010
3220002012111210210
4110212021212222
51201424421010
654142121550
711364041130
oct2446114652
9802174723
10345545130
11168062197
12978802b6
1356786598
1433c6b750
1520508b20
hex149899aa

345545130 has 128 divisors (see below), whose sum is σ = 987033600. Its totient is φ = 75778560.

The previous prime is 345545129. The next prime is 345545173. The reversal of 345545130 is 31545543.

345545130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 576571 + ... + 577169.

It is an arithmetic number, because the mean of its divisors is an integer number (7711200).

Almost surely, 2345545130 is an apocalyptic number.

345545130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345545130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

345545130 is an abundant number, since it is smaller than the sum of its proper divisors (641488470).

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

345545130 is a wasteful number, since it uses less digits than its factorization.

345545130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724.

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 345545130 is about 18588.8442351858. The cubic root of 345545130 is about 701.7271161190.

The spelling of 345545130 in words is "three hundred forty-five million, five hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 67 70 82 105 123 134 201 205 210 246 287 335 402 410 469 574 599 615 670 861 938 1005 1198 1230 1407 1435 1722 1797 2010 2345 2747 2814 2870 2995 3594 4193 4305 4690 5494 5990 7035 8241 8386 8610 8985 12579 13735 14070 16482 17970 19229 20965 24559 25158 27470 38458 40133 41205 41930 49118 57687 62895 73677 80266 82410 96145 115374 120399 122795 125790 147354 171913 192290 200665 240798 245590 280931 288435 343826 368385 401330 515739 561862 576870 601995 736770 842793 859565 1031478 1203990 1404655 1645453 1685586 1719130 2578695 2809310 3290906 4213965 4936359 5157390 8227265 8427930 9872718 11518171 16454530 23036342 24681795 34554513 49363590 57590855 69109026 115181710 172772565 345545130