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344341344 = 2533586889
BaseRepresentation
bin10100100001100…
…011101101100000
3212222221100112010
4110201203231200
51201122410334
654100232520
711350565424
oct2441435540
9788840463
10344341344
1116740a826
129739b740
1356454699
1433a36b84
152036c0e9
hex14863b60

344341344 has 24 divisors (see below), whose sum is σ = 903896280. Its totient is φ = 114780416.

The previous prime is 344341337. The next prime is 344341363. The reversal of 344341344 is 443143443.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3443413442 = 237141922375452672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1793349 + ... + 1793540.

It is an arithmetic number, because the mean of its divisors is an integer number (37662345).

Almost surely, 2344341344 is an apocalyptic number.

It is an amenable number.

344341344 is an abundant number, since it is smaller than the sum of its proper divisors (559554936).

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

344341344 is a wasteful number, since it uses less digits than its factorization.

344341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586902 (or 3586894 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 344341344 is about 18556.4367269150. The cubic root of 344341344 is about 700.9112920351.

Adding to 344341344 its reverse (443143443), we get a palindrome (787484787).

It can be divided in two parts, 34434 and 1344, that added together give a triangular number (35778 = T267).

The spelling of 344341344 in words is "three hundred forty-four million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3586889 7173778 10760667 14347556 21521334 28695112 43042668 57390224 86085336 114780448 172170672 344341344