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344430840 = 233513220789
BaseRepresentation
bin10100100001111…
…001100011111000
3220000002220021210
4110201321203320
51201133241330
654102203120
711351420355
oct2441714370
9800086253
10344430840
11167470a96
12974234a0
1356486340
1433a5b62c
15203888b0
hex148798f8

344430840 has 64 divisors (see below), whose sum is σ = 1112781600. Its totient is φ = 84782592.

The previous prime is 344430809. The next prime is 344430887. The reversal of 344430840 is 48034443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344430798 and 344430807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108835 + ... + 111954.

Almost surely, 2344430840 is an apocalyptic number.

344430840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344430840 is an abundant number, since it is smaller than the sum of its proper divisors (768350760).

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

344430840 is a wasteful number, since it uses less digits than its factorization.

344430840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220816 (or 220812 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 344430840 is about 18558.8480245946. The cubic root of 344430840 is about 700.9720101997.

The spelling of 344430840 in words is "three hundred forty-four million, four hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 220789 441578 662367 883156 1103945 1324734 1766312 2207890 2649468 2870257 3311835 4415780 5298936 5740514 6623670 8610771 8831560 11481028 13247340 14351285 17221542 22962056 26494680 28702570 34443084 43053855 57405140 68886168 86107710 114810280 172215420 344430840