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344041300 = 22523440413
BaseRepresentation
bin10100100000011…
…010011101010100
3212222101002221101
4110200122131110
51201033310200
654045555444
711345205601
oct2440323524
9788332841
10344041300
11167225359
1297275b84
135637ac45
14339996a8
152030d26a
hex1481a754

344041300 has 18 divisors (see below), whose sum is σ = 746569838. Its totient is φ = 137616480.

The previous prime is 344041283. The next prime is 344041309. The reversal of 344041300 is 3140443.

It can be written as a sum of positive squares in 3 ways, for example, as 12996 + 344028304 = 114^2 + 18548^2 .

It is a super-2 number, since 2×3440413002 = 236728832211380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344041309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1720107 + ... + 1720306.

Almost surely, 2344041300 is an apocalyptic number.

It is an amenable number.

344041300 is an abundant number, since it is smaller than the sum of its proper divisors (402528538).

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

344041300 is a wasteful number, since it uses less digits than its factorization.

344041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440427 (or 3440420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 344041300 is about 18548.3503309594. The cubic root of 344041300 is about 700.7076517188.

Adding to 344041300 its reverse (3140443), we get a palindrome (347181743).

The spelling of 344041300 in words is "three hundred forty-four million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3440413 6880826 13761652 17202065 34404130 68808260 86010325 172020650 344041300