Search a number
-
+
103410416034 = 2326947826979
BaseRepresentation
bin110000001001110111…
…1011011100110100010
3100212220211221102112200
41200103233123212202
53143241031303114
6115301152034030
710320415014252
oct1402357334642
9325824842480
10103410416034
113a946536152
121805bb32916
1399a02415b3
14500dd7d962
152a5384d409
hex1813bdb9a2

103410416034 has 24 divisors (see below), whose sum is σ = 224088424560. Its totient is φ = 34465135128.

The previous prime is 103410416003. The next prime is 103410416047. The reversal of 103410416034 is 430614014301.

103410416034 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 10 + 41 + 603 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103410415989 and 103410416007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288444 + ... + 538535.

It is an arithmetic number, because the mean of its divisors is an integer number (9337017690).

Almost surely, 2103410416034 is an apocalyptic number.

103410416034 is an abundant number, since it is smaller than the sum of its proper divisors (120678008526).

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

103410416034 is a wasteful number, since it uses less digits than its factorization.

103410416034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833934 (or 833931 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 103410416034 in words is "one hundred three billion, four hundred ten million, four hundred sixteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 6947 13894 20841 41682 62523 125046 826979 1653958 2480937 4961874 7442811 14885622 5745023113 11490046226 17235069339 34470138678 51705208017 103410416034