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344111220 = 22335637243
BaseRepresentation
bin10100100000101…
…011100001110100
3212222111122212000
4110200223201310
51201043024340
654051255300
711345616465
oct2440534164
9788448760
10344111220
11167272942
12972aa530
13563a3a0b
14339b6d6c
1520323d30
hex1482b874

344111220 has 48 divisors (see below), whose sum is σ = 1070569920. Its totient is φ = 91762848.

The previous prime is 344111203. The next prime is 344111221. The reversal of 344111220 is 22111443.

344111220 is a `hidden beast` number, since 3 + 441 + 1 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 344111193 and 344111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344111221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318082 + ... + 319161.

It is an arithmetic number, because the mean of its divisors is an integer number (22303540).

Almost surely, 2344111220 is an apocalyptic number.

344111220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344111220 is an abundant number, since it is smaller than the sum of its proper divisors (726458700).

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

344111220 is a wasteful number, since it uses less digits than its factorization.

344111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637261 (or 637253 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 344111220 is about 18550.2350389422. The cubic root of 344111220 is about 700.7551171058.

Adding to 344111220 its reverse (22111443), we get a palindrome (366222663).

The spelling of 344111220 in words is "three hundred forty-four million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 637243 1274486 1911729 2548972 3186215 3823458 5735187 6372430 7646916 9558645 11470374 12744860 17205561 19117290 22940748 28675935 34411122 38234580 57351870 68822244 86027805 114703740 172055610 344111220