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348642254296 = 23713734534417
BaseRepresentation
bin1010001001011001011…
…00101001110111011000
31020022220110220120102001
411010230230221313120
521203004404114141
6424055233250344
734121452156660
oct5045454516730
91208813816361
10348642254296
11124949510966
125769b7039b4
1326b524c57bb
1412c353dd1a0
159107c58a31
hex512cb29dd8

348642254296 has 32 divisors (see below), whose sum is σ = 747634839840. Its totient is φ = 149309250048.

The previous prime is 348642254293. The next prime is 348642254299. The reversal of 348642254296 is 692452246843.

It is an interprime number because it is at equal distance from previous prime (348642254293) and next prime (348642254299).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348642254293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2190321 + ... + 2344096.

It is an arithmetic number, because the mean of its divisors is an integer number (23363588745).

Almost surely, 2348642254296 is an apocalyptic number.

It is an amenable number.

348642254296 is an abundant number, since it is smaller than the sum of its proper divisors (398992585544).

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

348642254296 is a wasteful number, since it uses less digits than its factorization.

348642254296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535803 (or 4535799 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 55.

The spelling of 348642254296 in words is "three hundred forty-eight billion, six hundred forty-two million, two hundred fifty-four thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 1373 2746 5492 9611 10984 19222 38444 76888 4534417 9068834 18137668 31740919 36275336 63481838 126963676 253927352 6225754541 12451509082 24903018164 43580281787 49806036328 87160563574 174321127148 348642254296