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344000432013 = 371271811993581
BaseRepresentation
bin1010000000110000000…
…01100000011110001101
31012212220222111120022020
411000120001200132031
521114003102311023
6422010455040353
733565436266260
oct5003001403615
91185828446266
10344000432013
111229873040a7
12568050700b9
13265929243b4
1412914b36cd7
158e354a3de3
hex501806078d

344000432013 has 64 divisors (see below), whose sum is σ = 534056140800. Its totient is φ = 192917894400.

The previous prime is 344000431991. The next prime is 344000432033. The reversal of 344000432013 is 310234000443.

It is not a de Polignac number, because 344000432013 - 25 = 344000431981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344000432033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96060883 + ... + 96064463.

It is an arithmetic number, because the mean of its divisors is an integer number (8344627200).

Almost surely, 2344000432013 is an apocalyptic number.

It is an amenable number.

344000432013 is a deficient number, since it is larger than the sum of its proper divisors (190055708787).

344000432013 is a wasteful number, since it uses less digits than its factorization.

344000432013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 344000432013 its reverse (310234000443), we get a palindrome (654234432456).

The spelling of 344000432013 in words is "three hundred forty-four billion, four hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 21 127 181 199 381 543 597 889 1267 1393 2667 3581 3801 4179 10743 22987 25067 25273 36019 68961 75201 75819 108057 160909 176911 252133 454787 482727 530733 648161 712619 756399 1364361 1944483 2137857 3183509 4537127 4574413 4988333 9550527 13611381 13723239 14964999 32020891 82316447 90502613 96062673 128984039 246949341 271507839 386952117 576215129 633518291 902888273 1728645387 1900554873 2708664819 16380972953 49142918859 114666810671 344000432013