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344668050 = 232523672087
BaseRepresentation
bin10100100010110…
…011011110010010
3220000112221200100
4110202303132102
51201213334200
654111233230
711353426056
oct2442633622
9800487610
10344668050
11167613231
1297518816
135653a2bc
1433abdc66
15203d3d00
hex148b3792

344668050 has 72 divisors (see below), whose sum is σ = 928976256. Its totient is φ = 91617120.

The previous prime is 344668043. The next prime is 344668067. The reversal of 344668050 is 50866443.

It is a junction number, because it is equal to n+sod(n) for n = 344667996 and 344668014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164107 + ... + 166193.

It is an arithmetic number, because the mean of its divisors is an integer number (12902448).

Almost surely, 2344668050 is an apocalyptic number.

344668050 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 344668050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464488128).

344668050 is an abundant number, since it is smaller than the sum of its proper divisors (584308206).

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

344668050 is a wasteful number, since it uses less digits than its factorization.

344668050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 344668050 is about 18565.2376769057. The cubic root of 344668050 is about 701.1328934057.

The spelling of 344668050 in words is "three hundred forty-four million, six hundred sixty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 367 450 734 1101 1835 2087 2202 3303 3670 4174 5505 6261 6606 9175 10435 11010 12522 16515 18350 18783 20870 27525 31305 33030 37566 52175 55050 62610 82575 93915 104350 156525 165150 187830 313050 469575 765929 939150 1531858 2297787 3829645 4595574 6893361 7659290 11488935 13786722 19148225 22977870 34466805 38296450 57444675 68933610 114889350 172334025 344668050