Search a number
-
+
3124223244 = 2233299771021
BaseRepresentation
bin1011101000110111…
…1101110100001100
322001201202222121000
42322031331310030
522344300120434
61234002540300
7140264313402
oct27215756414
98051688530
103124223244
1113635a718a
12732367690
133aa35980c
14218d01472
15134430b99
hexba37dd0c

3124223244 has 96 divisors (see below), whose sum is σ = 8395934400. Its totient is φ = 1003484160.

The previous prime is 3124223243. The next prime is 3124223251. The reversal of 3124223244 is 4423224213.

3124223244 is a `hidden beast` number, since 312 + 4 + 22 + 324 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (3124223243) 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, 3059454 + ... + 3060474.

It is an arithmetic number, because the mean of its divisors is an integer number (87457650).

Almost surely, 23124223244 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 3124223244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197967200).

3124223244 is an abundant number, since it is smaller than the sum of its proper divisors (5271711156).

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

3124223244 is a wasteful number, since it uses less digits than its factorization.

3124223244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2032 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 3124223244 is about 55894.7514888473. The cubic root of 3124223244 is about 1461.8877258248.

Adding to 3124223244 its reverse (4423224213), we get a palindrome (7547447457).

The spelling of 3124223244 in words is "three billion, one hundred twenty-four million, two hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 977 1021 1044 1566 1954 2042 2931 3063 3132 3908 4084 5862 6126 8793 9189 11724 12252 17586 18378 26379 27567 28333 29609 35172 36756 52758 55134 56666 59218 84999 88827 105516 110268 113332 118436 169998 177654 254997 266481 339996 355308 509994 532962 764991 799443 997517 1019988 1065924 1529982 1598886 1995034 2992551 3059964 3197772 3990068 5985102 8977653 11970204 17955306 26932959 28927993 35910612 53865918 57855986 86783979 107731836 115711972 173567958 260351937 347135916 520703874 781055811 1041407748 1562111622 3124223244