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345350200 = 235213433089
BaseRepresentation
bin10100100101011…
…010000000111000
3220001211121102011
4110211122000320
51201402201300
654134015304
711362266616
oct2445320070
9801747364
10345350200
11167a39798
12977a7534
1356718940
1433c1a6b6
15204baeba
hex1495a038

345350200 has 96 divisors (see below), whose sum is σ = 885099600. Its totient is φ = 124508160.

The previous prime is 345350153. The next prime is 345350237. The reversal of 345350200 is 2053543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110256 + ... + 113344.

Almost surely, 2345350200 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 345350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442549800).

345350200 is an abundant number, since it is smaller than the sum of its proper divisors (539749400).

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

345350200 is a wasteful number, since it uses less digits than its factorization.

345350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 345350200 is about 18583.6002970361. The cubic root of 345350200 is about 701.5951377997.

The spelling of 345350200 in words is "three hundred forty-five million, three hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 130 172 200 215 260 325 344 430 520 559 650 860 1075 1118 1300 1720 2150 2236 2600 2795 3089 4300 4472 5590 6178 8600 11180 12356 13975 15445 22360 24712 27950 30890 40157 55900 61780 77225 80314 111800 123560 132827 154450 160628 200785 265654 308900 321256 401570 531308 617800 664135 803140 1003925 1062616 1328270 1606280 1726751 2007850 2656540 3320675 3453502 4015700 5313080 6641350 6907004 8031400 8633755 13282700 13814008 17267510 26565400 34535020 43168775 69070040 86337550 172675100 345350200