Search a number
-
+
3097224 = 2333131103
BaseRepresentation
bin1011110100001010001000
312211100121000
423310022020
51243102344
6150215000
735216544
oct13641210
95740530
103097224
111825a99
121054460
138459a0
145a8a24
15412a69
hex2f4288

3097224 has 64 divisors (see below), whose sum is σ = 9273600. Its totient is φ = 952128.

The previous prime is 3097223. The next prime is 3097261. The reversal of 3097224 is 4227903.

It is a super-3 number, since 3×30972243 = 89133118698133366272, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3097223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2257 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (144900).

Almost surely, 23097224 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 3097224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636800).

3097224 is an abundant number, since it is smaller than the sum of its proper divisors (6176376).

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

3097224 is a wasteful number, since it uses less digits than its factorization.

3097224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3097224 is about 1759.8931785765. The cubic root of 3097224 is about 145.7664370915.

It can be divided in two parts, 3097 and 224, that added together give a triangular number (3321 = T81).

The spelling of 3097224 in words is "three million, ninety-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1103 1404 2206 2808 3309 4412 6618 8824 9927 13236 14339 19854 26472 28678 29781 39708 43017 57356 59562 79416 86034 114712 119124 129051 172068 238248 258102 344136 387153 516204 774306 1032408 1548612 3097224