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343420144000 = 275321463759
BaseRepresentation
bin1001111111101010110…
…11111000100110000000
31012211102112120212210121
410333311123320212000
521111311024102000
6421433125310024
733545162026423
oct4776533704600
91184375525717
10343420144000
1112270979a12a
1256682865314
13264cc63aacb
141289ba419ba
158dee57bb1a
hex4ff56f8980

343420144000 has 64 divisors (see below), whose sum is σ = 853828372800. Its totient is φ = 137368051200.

The previous prime is 343420143973. The next prime is 343420144019. The reversal of 343420144000 is 441024343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10715880 + ... + 10747879.

It is an arithmetic number, because the mean of its divisors is an integer number (13341068325).

Almost surely, 2343420144000 is an apocalyptic number.

It is an amenable number.

343420144000 is an abundant number, since it is smaller than the sum of its proper divisors (510408228800).

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

343420144000 is an equidigital number, since it uses as much as digits as its factorization.

343420144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21463788 (or 21463766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 343420144000 its reverse (441024343), we get a palindrome (343861168343).

The spelling of 343420144000 in words is "three hundred forty-three billion, four hundred twenty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 21463759 42927518 85855036 107318795 171710072 214637590 343420144 429275180 536593975 686840288 858550360 1073187950 1373680576 1717100720 2146375900 2682969875 2747361152 3434201440 4292751800 5365939750 6868402880 8585503600 10731879500 13736805760 17171007200 21463759000 34342014400 42927518000 68684028800 85855036000 171710072000 343420144000