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345321060 = 223576311303
BaseRepresentation
bin10100100101010…
…010111001100100
3220001210010102220
4110211102321210
51201400233220
654133232340
711362115640
oct2445227144
9801703386
10345321060
11167a19907
12977926b0
13567085b6
1433c0dc20
15204b2540
hex14952e64

345321060 has 96 divisors (see below), whose sum is σ = 1107628032. Its totient is φ = 78744960.

The previous prime is 345321049. The next prime is 345321071. The reversal of 345321060 is 60123543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345321049) and next prime (345321071).

It is a self number, because there is not a number n which added to its sum of digits gives 345321060.

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 31 ways as a sum of consecutive naturals, for example, 264369 + ... + 265671.

It is an arithmetic number, because the mean of its divisors is an integer number (11537792).

Almost surely, 2345321060 is an apocalyptic number.

345321060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345321060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553814016).

345321060 is an abundant number, since it is smaller than the sum of its proper divisors (762306972).

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

345321060 is a wasteful number, since it uses less digits than its factorization.

345321060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 345321060 is about 18582.8162558854. The cubic root of 345321060 is about 701.5754041522.

The spelling of 345321060 in words is "three hundred forty-five million, three hundred twenty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 631 1262 1303 1893 2524 2606 3155 3786 3909 4417 5212 6310 6515 7572 7818 8834 9121 9465 12620 13030 13251 15636 17668 18242 18930 19545 22085 26060 26502 27363 36484 37860 39090 44170 45605 53004 54726 66255 78180 88340 91210 109452 132510 136815 182420 265020 273630 547260 822193 1644386 2466579 3288772 4110965 4933158 5755351 8221930 9866316 11510702 12332895 16443860 17266053 23021404 24665790 28776755 34532106 49331580 57553510 69064212 86330265 115107020 172660530 345321060