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344424130120 = 23572175726597
BaseRepresentation
bin1010000001100010100…
…01110010011001001000
31012221000111202122211201
411000301101302121020
521120340034130440
6422120512233544
733612102541600
oct5006121623110
91187014678751
10344424130120
11123084495824
1256902b3b8b4
132662c642435
1412955109c00
158e5c79919a
hex5031472648

344424130120 has 48 divisors (see below), whose sum is σ = 901477447740. Its totient is φ = 118088272512.

The previous prime is 344424130097. The next prime is 344424130151. The reversal of 344424130120 is 21031424443.

It can be written as a sum of positive squares in 2 ways, for example, as 313647041764 + 30777088356 = 560042^2 + 175434^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87861339 + ... + 87865258.

Almost surely, 2344424130120 is an apocalyptic number.

It is an amenable number.

344424130120 is an abundant number, since it is smaller than the sum of its proper divisors (557053317620).

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

344424130120 is a wasteful number, since it uses less digits than its factorization.

344424130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175726622 (or 175726611 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 344424130120 its reverse (21031424443), we get a palindrome (365455554563).

The spelling of 344424130120 in words is "three hundred forty-four billion, four hundred twenty-four million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 175726597 351453194 702906388 878632985 1230086179 1405812776 1757265970 2460172358 3514531940 4920344716 6150430895 7029063880 8610603253 9840689432 12300861790 17221206506 24601723580 34442413012 43053016265 49203447160 68884826024 86106032530 172212065060 344424130120