Search a number
-
+
10340441034 = 2371131721997
BaseRepresentation
bin10011010000101011…
…01001101111001010
3222200122100211102120
421220111221233022
5132134123103114
64430023312110
7514150204260
oct115025515712
928618324376
1010340441034
114426a00440
122006bab636
13c8a3a7781
14701462430
15407c095a9
hex268569bca

10340441034 has 64 divisors (see below), whose sum is σ = 26615734272. Its totient is φ = 2599185600.

The previous prime is 10340441011. The next prime is 10340441051. The reversal of 10340441034 is 43014404301.

10340441034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10340440995 and 10340441013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 346677 + ... + 375320.

It is an arithmetic number, because the mean of its divisors is an integer number (415870848).

Almost surely, 210340441034 is an apocalyptic number.

10340441034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10340441034 is an abundant number, since it is smaller than the sum of its proper divisors (16275293238).

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

10340441034 is a wasteful number, since it uses less digits than its factorization.

10340441034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722051.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10340441034 its reverse (43014404301), we get a palindrome (53354845335).

The spelling of 10340441034 in words is "ten billion, three hundred forty million, four hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 2046 2387 4774 7161 14322 721997 1443994 2165991 4331982 5053979 7941967 10107958 15161937 15883934 22381907 23825901 30323874 44763814 47651802 55593769 67145721 111187538 134291442 156673349 166781307 246200977 313346698 333562614 470020047 492401954 738602931 940040094 1477205862 1723406839 3446813678 5170220517 10340441034