Search a number
-
+
3514004442 = 23213311972459
BaseRepresentation
bin1101000101110011…
…0111001111011010
3100001220012220212200
43101130313033122
524144041120232
61340405151030
7153036354624
oct32134671732
910056186780
103514004442
111543622603
128209bb476
13440030a90
142549a5c14
1515877677c
hexd17373da

3514004442 has 96 divisors (see below), whose sum is σ = 8510261760. Its totient is φ = 1040618880.

The previous prime is 3514004413. The next prime is 3514004447. The reversal of 3514004442 is 2444004153.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3514004447) by changing a digit.

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, 1427809 + ... + 1430267.

It is an arithmetic number, because the mean of its divisors is an integer number (88648560).

Almost surely, 23514004442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3514004442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255130880).

3514004442 is an abundant number, since it is smaller than the sum of its proper divisors (4996257318).

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

3514004442 is a wasteful number, since it uses less digits than its factorization.

3514004442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3514004442 is about 59279.0388079969. The cubic root of 3514004442 is about 1520.3168259813.

Adding to 3514004442 its reverse (2444004153), we get a palindrome (5958008595).

The spelling of 3514004442 in words is "three billion, five hundred fourteen million, four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 197 234 279 394 403 558 591 806 1182 1209 1773 2418 2459 2561 3546 3627 4918 5122 6107 7254 7377 7683 12214 14754 15366 18321 22131 23049 31967 36642 44262 46098 54963 63934 76229 79391 95901 109926 152458 158782 191802 228687 238173 287703 457374 476346 484423 575406 686061 714519 968846 990977 1372122 1429038 1453269 1981954 2906538 2972931 4359807 5945862 6297499 8719614 8918793 12594998 15017113 17837586 18892497 30034226 37784994 45051339 56677491 90102678 113354982 135154017 195222469 270308034 390444938 585667407 1171334814 1757002221 3514004442