Search a number
-
+
3453217417134 = 23217197509112543
BaseRepresentation
bin110010010000000011110…
…011000010011110101110
3110020010100122210112122100
4302100003303002132232
5423034142124322014
611202215225355530
7504325642511532
oct62200363023656
913203318715570
103453217417134
111111557230251
1247930b638ba6
131c0838667384
14bd1cac29bc2
155ec5d1c1009
hex32403cc27ae

3453217417134 has 96 divisors (see below), whose sum is σ = 7978014570240. Its totient is φ = 1075735858176.

The previous prime is 3453217417127. The next prime is 3453217417183. The reversal of 3453217417134 is 4317147123543.

3453217417134 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 217 + 417 + 13 + 4 = 666.

It is a super-2 number, since 2×34532174171342 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3453217417134.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 30627267 + ... + 30739809.

It is an arithmetic number, because the mean of its divisors is an integer number (83104318440).

Almost surely, 23453217417134 is an apocalyptic number.

3453217417134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3453217417134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989007285120).

3453217417134 is an abundant number, since it is smaller than the sum of its proper divisors (4524797153106).

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

3453217417134 is a wasteful number, since it uses less digits than its factorization.

3453217417134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113274 (or 113271 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 3453217417134 in words is "three trillion, four hundred fifty-three billion, two hundred seventeen million, four hundred seventeen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 394 509 591 1018 1182 1527 1773 3054 3349 3546 4581 6698 8653 9162 10047 17306 20094 25959 30141 51918 60282 77877 100273 112543 155754 200546 225086 300819 337629 601638 675258 902457 1012887 1704641 1804914 1913231 2025774 3409282 3826462 5113923 5739693 10227846 11479386 15341769 17219079 22170971 30683538 34438158 44341942 57284387 66512913 114568774 133025826 171853161 199538739 343706322 376906507 399077478 515559483 753813014 973834579 1031118966 1130719521 1947669158 2261439042 2921503737 3392158563 5843007474 6784317126 8764511211 11285024239 17529022422 22570048478 33855072717 67710145434 101565218151 191845412063 203130436302 383690824126 575536236189 1151072472378 1726608708567 3453217417134