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345374370 = 2325111672089
BaseRepresentation
bin10100100101011…
…111111010100010
3220001212211120100
4110211133322202
51201403434440
654134323230
711362430235
oct2445377242
9801784510
10345374370
11167a55970
12977b9516
1356726943
1433c2541c
15204c3230
hex1495fea2

345374370 has 96 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 83185920.

The previous prime is 345374339. The next prime is 345374383. The reversal of 345374370 is 73473543.

345374370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164286 + ... + 166374.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 2345374370 is an apocalyptic number.

345374370 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 345374370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

345374370 is an abundant number, since it is smaller than the sum of its proper divisors (640570590).

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

345374370 is a wasteful number, since it uses less digits than its factorization.

345374370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 36.

The square root of 345374370 is about 18584.2505902175. The cubic root of 345374370 is about 701.6115049143.

It can be divided in two parts, 345374 and 370, that added together give a square (345744 = 5882).

The spelling of 345374370 in words is "three hundred forty-five million, three hundred seventy-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 167 198 330 334 495 501 835 990 1002 1503 1670 1837 2089 2505 3006 3674 4178 5010 5511 6267 7515 9185 10445 11022 12534 15030 16533 18370 18801 20890 22979 27555 31335 33066 37602 45958 55110 62670 68937 82665 94005 114895 137874 165330 188010 206811 229790 344685 348863 413622 689370 697726 1034055 1046589 1744315 2068110 2093178 3139767 3488630 3837493 5232945 6279534 7674986 10465890 11512479 15698835 19187465 23024958 31397670 34537437 38374930 57562395 69074874 115124790 172687185 345374370