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345103000 = 235311137229
BaseRepresentation
bin10100100100011…
…101101010011000
3220001101001022121
4110210131222120
51201321244000
654124431024
711360220124
oct2444355230
9801331277
10345103000
1116788aaa0
12976a8474
1356660278
1433b94584
152046cb1a
hex1491da98

345103000 has 128 divisors (see below), whose sum is σ = 891259200. Its totient is φ = 124032000.

The previous prime is 345102991. The next prime is 345103013. The reversal of 345103000 is 301543.

It is a congruent number.

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, 1506886 + ... + 1507114.

Almost surely, 2345103000 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 345103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445629600).

345103000 is an abundant number, since it is smaller than the sum of its proper divisors (546156200).

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

345103000 is a wasteful number, since it uses less digits than its factorization.

345103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 345103000 is about 18576.9480808878. The cubic root of 345103000 is about 701.4276983757.

Adding to 345103000 its reverse (301543), we get a palindrome (345404543).

The spelling of 345103000 in words is "three hundred forty-five million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 137 200 220 229 250 274 275 440 458 500 548 550 685 916 1000 1096 1100 1145 1370 1375 1507 1832 2200 2290 2519 2740 2750 3014 3425 4580 5038 5480 5500 5725 6028 6850 7535 9160 10076 11000 11450 12056 12595 13700 15070 17125 20152 22900 25190 27400 28625 30140 31373 34250 37675 45800 50380 57250 60280 62746 62975 68500 75350 100760 114500 125492 125950 137000 150700 156865 188375 229000 250984 251900 301400 313730 314875 345103 376750 503800 627460 629750 690206 753500 784325 1254920 1259500 1380412 1507000 1568650 1725515 2519000 2760824 3137300 3451030 3921625 6274600 6902060 7843250 8627575 13804120 15686500 17255150 31373000 34510300 43137875 69020600 86275750 172551500 345103000