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344405200 = 2452861013
BaseRepresentation
bin10100100001110…
…011010011010000
3220000001121010011
4110201303103100
51201131431300
654101444304
711351252536
oct2441632320
9800047104
10344405200
111674537a7
1297410694
1356477779
1433a52156
1520380eba
hex148734d0

344405200 has 30 divisors (see below), whose sum is σ = 827434454. Its totient is φ = 137761920.

The previous prime is 344405141. The next prime is 344405221. The reversal of 344405200 is 2504443.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5550736 + 338854464 = 2356^2 + 18408^2 .

It is a super-2 number, since 2×3444052002 = 237229883574080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430107 + ... + 430906.

Almost surely, 2344405200 is an apocalyptic number.

It is an amenable number.

344405200 is an abundant number, since it is smaller than the sum of its proper divisors (483029254).

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

344405200 is a wasteful number, since it uses less digits than its factorization.

344405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861031 (or 861020 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 344405200 is about 18558.1572361051. The cubic root of 344405200 is about 700.9546159304.

Adding to 344405200 its reverse (2504443), we get a palindrome (346909643).

The spelling of 344405200 in words is "three hundred forty-four million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 861013 1722026 3444052 4305065 6888104 8610130 13776208 17220260 21525325 34440520 43050650 68881040 86101300 172202600 344405200