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348400442601 = 3259964626311
BaseRepresentation
bin1010001000111100100…
…10001101110011101001
31020022021121220021010100
411010132102031303221
521202011003130401
6424015234340013
734112454620421
oct5043622156351
91208247807110
10348400442601
11124834a70192
125763272a609
1326b1438c163
1412c11255481
1590e18e0b86
hex511e48dce9

348400442601 has 12 divisors (see below), whose sum is σ = 504085233600. Its totient is φ = 231879200280.

The previous prime is 348400442591. The next prime is 348400442609. The reversal of 348400442601 is 106244004843.

348400442601 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 0 + 0 + 4 + 42 + 601 = 666.

It is not a de Polignac number, because 348400442601 - 217 = 348400311529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (348400442609) 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 11 ways as a sum of consecutive naturals, for example, 32307765 + ... + 32318546.

It is an arithmetic number, because the mean of its divisors is an integer number (42007102800).

Almost surely, 2348400442601 is an apocalyptic number.

It is an amenable number.

348400442601 is a deficient number, since it is larger than the sum of its proper divisors (155684790999).

348400442601 is a wasteful number, since it uses less digits than its factorization.

348400442601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64626916 (or 64626913 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 348400442601 in words is "three hundred forty-eight billion, four hundred million, four hundred forty-two thousand, six hundred one".

Divisors: 1 3 9 599 1797 5391 64626311 193878933 581636799 38711160289 116133480867 348400442601