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348323074476 = 2231337379159227
BaseRepresentation
bin1010001000110011010…
…11000101000110101100
31020022002020022120000020
411010121223011012230
521201331201340401
6424003432202140
734110525165366
oct5043153050654
91208066276006
10348323074476
111247a5327393
1257610839350
1326b013409c0
1412c04c75d36
1590d9c0bd36
hex5119ac51ac

348323074476 has 96 divisors (see below), whose sum is σ = 901306909440. Its totient is φ = 104003875584.

The previous prime is 348323074469. The next prime is 348323074481. The reversal of 348323074476 is 674470323843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107975 + ... + 2267201.

It is an arithmetic number, because the mean of its divisors is an integer number (9388613640).

Almost surely, 2348323074476 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 348323074476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450653454720).

348323074476 is an abundant number, since it is smaller than the sum of its proper divisors (552983834964).

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

348323074476 is a wasteful number, since it uses less digits than its factorization.

348323074476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159663 (or 159661 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 51.

The spelling of 348323074476 in words is "three hundred forty-eight billion, three hundred twenty-three million, seventy-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 379 444 481 758 962 1137 1443 1516 1924 2274 2886 4548 4927 5772 9854 14023 14781 19708 28046 29562 42069 56092 59124 84138 159227 168276 182299 318454 364598 477681 546897 636908 729196 955362 1093794 1910724 2069951 2187588 4139902 5891399 6209853 8279804 11782798 12419706 17674197 23565596 24839412 35348394 60347033 70696788 76588187 120694066 153176374 181041099 229764561 241388132 306352748 362082198 459529122 724164396 784511429 919058244 1569022858 2232840221 2353534287 3138045716 4465680442 4707068574 6698520663 8931360884 9414137148 13397041326 26794082652 29026922873 58053845746 87080768619 116107691492 174161537238 348323074476