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344120340 = 22351793
BaseRepresentation
bin10100100000101…
…101110000010100
3212222112010100210
4110200231300110
51201043322330
654051405420
711345655204
oct2440556024
9788463323
10344120340
11167279783
12972b3870
13563a7c05
14339ba404
15203268b0
hex1482dc14

344120340 has 48 divisors (see below), whose sum is σ = 968950080. Its totient is φ = 91252768.

The previous prime is 344120333. The next prime is 344120347. The reversal of 344120340 is 43021443.

It is an interprime number because it is at equal distance from previous prime (344120333) and next prime (344120347).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 895 × 537 × 716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344120347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1922371 + ... + 1922549.

It is an arithmetic number, because the mean of its divisors is an integer number (20186460).

Almost surely, 2344120340 is an apocalyptic number.

344120340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344120340 is an abundant number, since it is smaller than the sum of its proper divisors (624829740).

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

344120340 is an frugal number, since it uses more digits than its factorization.

344120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 344120340 is about 18550.4808563013. The cubic root of 344120340 is about 700.7613077692.

Adding to 344120340 its reverse (43021443), we get a palindrome (387141783).

The spelling of 344120340 in words is "three hundred forty-four million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2685 3580 5370 10740 32041 64082 96123 128164 160205 192246 320410 384492 480615 640820 961230 1922460 5735339 11470678 17206017 22941356 28676695 34412034 57353390 68824068 86030085 114706780 172060170 344120340