Search a number
-
+
340042003003032 = 233113114141600933
BaseRepresentation
bin100110101010001000011001…
…0110011000011011010011000
31122120222200211211221020021120
41031110100302303003122120
5324032222010232044112
63203113050054405240
7131424136554264441
oct11524206263033230
91576880754836246
10340042003003032
1199391004900440
123217a502960820
1311797a91a0b015
145dd819951a2c8
15294a415d19e8c
hex1354432cc3698

340042003003032 has 64 divisors (see below), whose sum is σ = 930369233813760. Its totient is φ = 102711703113600.

The previous prime is 340042003003007. The next prime is 340042003003051. The reversal of 340042003003032 is 230300300240043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 340042003002993 and 340042003003011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070718363 + ... + 2070882570.

It is an arithmetic number, because the mean of its divisors is an integer number (14537019278340).

Almost surely, 2340042003003032 is an apocalyptic number.

It is an amenable number.

340042003003032 is an abundant number, since it is smaller than the sum of its proper divisors (590327230810728).

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

340042003003032 is a wasteful number, since it uses less digits than its factorization.

340042003003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141601264 (or 4141601260 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 340042003003032 its reverse (230300300240043), we get a palindrome (570342303243075).

The spelling of 340042003003032 in words is "three hundred forty trillion, forty-two billion, three million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 622 933 1244 1866 2488 3421 3732 6842 7464 10263 13684 20526 27368 41052 82104 4141600933 8283201866 12424802799 16566403732 24849605598 33132807464 45557610263 49699211196 91115220526 99398422392 136672830789 182230441052 273345661578 364460882104 546691323156 1093382646312 1288037890163 2576075780326 3864113670489 5152151560652 7728227340978 10304303121304 14168416791793 15456454681956 28336833583586 30912909363912 42505250375379 56673667167172 85010500750758 113347334334344 170021001501516 340042003003032