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345016650 = 235211211991
BaseRepresentation
bin10100100100001…
…000100101001010
3220001012122212110
4110210020211022
51201311013100
654122523150
711356410306
oct2444104512
9801178773
10345016650
11167831130
12976664b6
135662cb84
1433b70d06
1520452250
hex1490894a

345016650 has 96 divisors (see below), whose sum is σ = 938797056. Its totient is φ = 83160000.

The previous prime is 345016631. The next prime is 345016663. The reversal of 345016650 is 56610543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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, 347655 + ... + 348645.

It is an arithmetic number, because the mean of its divisors is an integer number (9779136).

Almost surely, 2345016650 is an apocalyptic number.

345016650 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 345016650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469398528).

345016650 is an abundant number, since it is smaller than the sum of its proper divisors (593780406).

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

345016650 is a wasteful number, since it uses less digits than its factorization.

345016650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 345016650 is about 18574.6238185326. The cubic root of 345016650 is about 701.3691908826.

It can be divided in two parts, 3450 and 16650, that added together give a triangular number (20100 = T200).

The spelling of 345016650 in words is "three hundred forty-five million, sixteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 211 275 330 422 550 633 825 991 1055 1266 1650 1982 2110 2321 2973 3165 4642 4955 5275 5946 6330 6963 9910 10550 10901 11605 13926 14865 15825 21802 23210 24775 29730 31650 32703 34815 49550 54505 58025 65406 69630 74325 109010 116050 148650 163515 174075 209101 272525 327030 348150 418202 545050 627303 817575 1045505 1254606 1635150 2091010 2300111 3136515 4600222 5227525 6273030 6900333 10455050 11500555 13800666 15682575 23001110 31365150 34501665 57502775 69003330 115005550 172508325 345016650