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343343796640 = 255131773133013
BaseRepresentation
bin1001111111100001110…
…00101001000110100000
31012211020012221000220121
410333300320221012200
521111132002443030
6421421401050024
733543244055365
oct4776070510640
91184205830817
10343343796640
1112267a693239
1256661186914
13264b9889160
141289184a46c
158de79ea47a
hex4ff0e291a0

343343796640 has 192 divisors, whose sum is σ = 937608237216. Its totient is φ = 117680504832.

The previous prime is 343343796629. The next prime is 343343796659. The reversal of 343343796640 is 46697343343.

It can be written as a sum of positive squares in 16 ways, for example, as 33099252624 + 310244544016 = 181932^2 + 556996^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2514774 + ... + 2647786.

Almost surely, 2343343796640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343343796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468804118608).

343343796640 is an abundant number, since it is smaller than the sum of its proper divisors (594264440576).

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

343343796640 is a wasteful number, since it uses less digits than its factorization.

343343796640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133131 (or 133123 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 52.

The spelling of 343343796640 in words is "three hundred forty-three billion, three hundred forty-three million, seven hundred ninety-six thousand, six hundred forty".