Search a number
-
+
3101344224 = 253112313853
BaseRepresentation
bin1011100011011010…
…1100000111100000
322000010201121110220
42320312230013200
522322421003344
61231424323040
7136565663616
oct27066540740
98003647426
103101344224
11135169a900
12726773480
133a56a8b34
14215c676b6
15132411c19
hexb8dac1e0

3101344224 has 144 divisors (see below), whose sum is σ = 8987516496. Its totient is φ = 935700480.

The previous prime is 3101344223. The next prime is 3101344229. The reversal of 3101344224 is 4224431013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3101344194 and 3101344203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101344223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3635382 + ... + 3636234.

It is an arithmetic number, because the mean of its divisors is an integer number (62413309).

Almost surely, 23101344224 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 3101344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493758248).

3101344224 is an abundant number, since it is smaller than the sum of its proper divisors (5886172272).

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

3101344224 is a wasteful number, since it uses less digits than its factorization.

3101344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1182 counting only the distinct ones).

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

The square root of 3101344224 is about 55689.7138078479. The cubic root of 3101344224 is about 1458.3104594210.

Adding to 3101344224 its reverse (4224431013), we get a palindrome (7325775237).

The spelling of 3101344224 in words is "three billion, one hundred one million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 313 352 363 484 528 626 726 853 939 968 1056 1252 1452 1706 1878 1936 2504 2559 2904 3412 3443 3756 3872 5008 5118 5808 6824 6886 7512 9383 10016 10236 10329 11616 13648 13772 15024 18766 20472 20658 27296 27544 28149 30048 37532 37873 40944 41316 55088 56298 75064 75746 81888 82632 103213 110176 112596 113619 150128 151492 165264 206426 225192 227238 266989 300256 302984 309639 330528 412852 450384 454476 533978 605968 619278 800967 825704 900768 908952 1067956 1211936 1238556 1601934 1651408 1817904 2135912 2477112 2936879 3203868 3302816 3635808 4271824 4954224 5873758 6407736 8543648 8810637 9908448 11747516 12815472 17621274 23495032 25630944 32305669 35242548 46990064 64611338 70485096 93980128 96917007 129222676 140970192 193834014 258445352 281940384 387668028 516890704 775336056 1033781408 1550672112 3101344224