Search a number
-
+
3331124244 = 2233737311813
BaseRepresentation
bin1100011010001100…
…1110110000010100
322121011002122102000
43012203032300110
523310231433434
61310313315300
7145356042330
oct30643166024
98534078360
103331124244
11145a372a48
1278b705b30
1341118bc46
1423859c7c0
1514769eb99
hexc68cec14

3331124244 has 96 divisors (see below), whose sum is σ = 9897296640. Its totient is φ = 949117824.

The previous prime is 3331124227. The next prime is 3331124249. The reversal of 3331124244 is 4424211333.

It is a super-2 number, since 2×33311242442 = 22192777457929143072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331124249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276082 + ... + 287894.

It is an arithmetic number, because the mean of its divisors is an integer number (103096840).

Almost surely, 23331124244 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 3331124244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948648320).

3331124244 is an abundant number, since it is smaller than the sum of its proper divisors (6566172396).

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

3331124244 is a wasteful number, since it uses less digits than its factorization.

3331124244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12206 (or 12198 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3331124244 is about 57715.8924733907. The cubic root of 3331124244 is about 1493.4715151461.

Adding to 3331124244 its reverse (4424211333), we get a palindrome (7755335577).

The spelling of 3331124244 in words is "three billion, three hundred thirty-one million, one hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 373 378 746 756 1119 1492 2238 2611 3357 4476 5222 6714 7833 10071 10444 11813 13428 15666 20142 23499 23626 31332 35439 40284 46998 47252 70497 70878 82691 93996 106317 140994 141756 165382 212634 248073 281988 318951 330764 425268 496146 637902 744219 992292 1275804 1488438 2232657 2976876 4406249 4465314 8812498 8930628 13218747 17624996 26437494 30843743 39656241 52874988 61687486 79312482 92531229 118968723 123374972 158624964 185062458 237937446 277593687 370124916 475874892 555187374 832781061 1110374748 1665562122 3331124244