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345030660 = 2232513147449
BaseRepresentation
bin10100100100001…
…100000000000100
3220001020101002100
4110210030000010
51201311440120
654123112100
711356466202
oct2444140004
9801211070
10345030660
11167840707
1297672630
1356636370
1433b76072
1520456490
hex1490c004

345030660 has 72 divisors (see below), whose sum is σ = 1127107800. Its totient is φ = 84930048.

The previous prime is 345030641. The next prime is 345030727. The reversal of 345030660 is 66030543.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 323352324 = 4656^2 + 17982^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71385 + ... + 76064.

It is an arithmetic number, because the mean of its divisors is an integer number (15654275).

Almost surely, 2345030660 is an apocalyptic number.

345030660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345030660 is an abundant number, since it is smaller than the sum of its proper divisors (782077140).

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

345030660 is a wasteful number, since it uses less digits than its factorization.

345030660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147477 (or 147472 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 345030660 is about 18575.0009421265. Note that the first 3 decimals coincide. The cubic root of 345030660 is about 701.3786841920.

The spelling of 345030660 in words is "three hundred forty-five million, thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 147449 294898 442347 589796 737245 884694 1327041 1474490 1769388 1916837 2211735 2654082 2948980 3833674 4423470 5308164 5750511 6635205 7667348 8846940 9584185 11501022 13270410 17251533 19168370 23002044 26540820 28752555 34503066 38336740 57505110 69006132 86257665 115010220 172515330 345030660