Search a number
-
+
3031072 = 251179109
BaseRepresentation
bin1011100100000000100000
312200222211221
423210000200
51233443242
6144544424
734522642
oct13440040
95628757
103031072
111790320
121022114
13821845
1458c892
153ed167
hex2e4020

3031072 has 48 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 1347840.

The previous prime is 3031069. The next prime is 3031079. The reversal of 3031072 is 2701303.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3031079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27754 + ... + 27862.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 23031072 is an apocalyptic number.

3031072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

3031072 is an abundant number, since it is smaller than the sum of its proper divisors (3621728).

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

3031072 is a wasteful number, since it uses less digits than its factorization.

3031072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 3031072 is about 1740.9974152767. The cubic root of 3031072 is about 144.7211764353.

Adding to 3031072 its reverse (2701303), we get a palindrome (5732375).

The spelling of 3031072 in words is "three million, thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 109 158 176 218 316 352 436 632 869 872 1199 1264 1738 1744 2398 2528 3476 3488 4796 6952 8611 9592 13904 17222 19184 27808 34444 38368 68888 94721 137776 189442 275552 378884 757768 1515536 3031072