Search a number
-
+
34010043400734 = 23376113119171367
BaseRepresentation
bin1111011101110100101001…
…00011100100001000011110
311110102022212101211002011020
413232322110203210020132
513424210032102310414
6200155555342105010
710110100403035122
oct756722443441036
9143368771732136
1034010043400734
11a92263a950305
12399345a87b166
1315c9196c0c84b
14858148509582
153dea2c8667a9
hex1eee948e421e

34010043400734 has 64 divisors (see below), whose sum is σ = 71545704924672. Its totient is φ = 10766639145600.

The previous prime is 34010043400733. The next prime is 34010043400747. The reversal of 34010043400734 is 43700434001043.

It is a junction number, because it is equal to n+sod(n) for n = 34010043400695 and 34010043400704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010043400733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7811682 + ... + 11359685.

It is an arithmetic number, because the mean of its divisors is an integer number (1117901639448).

Almost surely, 234010043400734 is an apocalyptic number.

34010043400734 is an abundant number, since it is smaller than the sum of its proper divisors (37535661523938).

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

34010043400734 is a wasteful number, since it uses less digits than its factorization.

34010043400734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19171601.

The product of its (nonzero) digits is 48384, while the sum is 33.

Adding to 34010043400734 its reverse (43700434001043), we get a palindrome (77710477401777).

The spelling of 34010043400734 in words is "thirty-four trillion, ten billion, forty-three million, four hundred thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 37 61 74 111 122 131 183 222 262 366 393 786 2257 4514 4847 6771 7991 9694 13542 14541 15982 23973 29082 47946 295667 591334 887001 1774002 19171367 38342734 57514101 115028202 709340579 1169453387 1418681158 2128021737 2338906774 2511449077 3508360161 4256043474 5022898154 7016720322 7534347231 15068694462 43269775319 86539550638 92923615849 129809325957 153198393697 185847231698 259618651914 278770847547 306396787394 459595181091 557541695094 919190362182 5668340566789 11336681133578 17005021700367 34010043400734