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344120200 = 235216710303
BaseRepresentation
bin10100100000101…
…101101110001000
3212222112010011121
4110200231232020
51201043321300
654051405024
711345654614
oct2440555610
9788463147
10344120200
11167279666
12972b3774
13563a7b28
14339ba344
152032681a
hex1482db88

344120200 has 48 divisors (see below), whose sum is σ = 804948480. Its totient is φ = 136810560.

The previous prime is 344120197. The next prime is 344120233. The reversal of 344120200 is 2021443.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28249 + ... + 38551.

It is an arithmetic number, because the mean of its divisors is an integer number (16769760).

Almost surely, 2344120200 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 344120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402474240).

344120200 is an abundant number, since it is smaller than the sum of its proper divisors (460828280).

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

344120200 is a wasteful number, since it uses less digits than its factorization.

344120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 344120200 is about 18550.4770828138. The cubic root of 344120200 is about 700.7612127379.

Adding to 344120200 its reverse (2021443), we get a palindrome (346141643).

The spelling of 344120200 in words is "three hundred forty-four million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1336 1670 3340 4175 6680 8350 10303 16700 20606 33400 41212 51515 82424 103030 206060 257575 412120 515150 1030300 1720601 2060600 3441202 6882404 8603005 13764808 17206010 34412020 43015025 68824040 86030050 172060100 344120200