Search a number
-
+
3005431352 = 2371131715391
BaseRepresentation
bin1011001100100011…
…0011111000111000
321202110020201202022
42303020303320320
522123342300402
61214120454012
7134322513350
oct26310637070
97673221668
103005431352
111302540070
126ba61a308
1338b866761
1420721bb60
15128cb82a2
hexb3233e38

3005431352 has 64 divisors (see below), whose sum is σ = 7048304640. Its totient is φ = 1167177600.

The previous prime is 3005431337. The next prime is 3005431361. The reversal of 3005431352 is 2531345003.

3005431352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30054313522 = 18065235223169095808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187577 + ... + 202967.

It is an arithmetic number, because the mean of its divisors is an integer number (110129760).

Almost surely, 23005431352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005431352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524152320).

3005431352 is an abundant number, since it is smaller than the sum of its proper divisors (4042873288).

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

3005431352 is a wasteful number, since it uses less digits than its factorization.

3005431352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15732 (or 15728 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 3005431352 is about 54821.8145631828. The cubic root of 3005431352 is about 1443.1194194774.

Adding to 3005431352 its reverse (2531345003), we get a palindrome (5536776355).

The spelling of 3005431352 in words is "three billion, five million, four hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 317 616 634 1268 2219 2536 3487 4438 6974 8876 13948 15391 17752 24409 27896 30782 48818 61564 97636 107737 123128 169301 195272 215474 338602 430948 677204 861896 1185107 1354408 2370214 4740428 4878947 9480856 9757894 19515788 34152629 39031576 53668417 68305258 107336834 136610516 214673668 273221032 375678919 429347336 751357838 1502715676 3005431352