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340823246401 = 11311317629631
BaseRepresentation
bin1001111010110101010…
…01100000011001000001
31012120201120001211000001
410331122221200121001
521041001222341101
6420323321000001
733423626536411
oct4753251403101
91176646054001
10340823246401
111215a6923570
1256079023001
13261a7613001
14126d2baa641
158ceb5b0901
hex4f5aa60641

340823246401 has 16 divisors (see below), whose sum is σ = 386730786816. Its totient is φ = 297555570000.

The previous prime is 340823246399. The next prime is 340823246453. The reversal of 340823246401 is 104642328043.

It is a cyclic number.

It is not a de Polignac number, because 340823246401 - 21 = 340823246399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (340823246201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3770145 + ... + 3859486.

It is an arithmetic number, because the mean of its divisors is an integer number (24170674176).

Almost surely, 2340823246401 is an apocalyptic number.

340823246401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

340823246401 is a deficient number, since it is larger than the sum of its proper divisors (45907540415).

340823246401 is a wasteful number, since it uses less digits than its factorization.

340823246401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629804.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 340823246401 in words is "three hundred forty billion, eight hundred twenty-three million, two hundred forty-six thousand, four hundred one".

Divisors: 1 11 31 131 341 1441 4061 44671 7629631 83925941 236518561 999481661 2601704171 10994298271 30983931491 340823246401