Search a number
-
+
3224040 = 233567401
BaseRepresentation
bin1100010011000111101000
320001210112220
430103013220
51311132130
6153034040
736255351
oct14230750
96053486
103224040
1119022a6
1210b5920
1388b621
145dcd28
1543a410
hex3131e8

3224040 has 64 divisors (see below), whose sum is σ = 9840960. Its totient is φ = 844800.

The previous prime is 3224027. The next prime is 3224047. The reversal of 3224040 is 404223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3224047) 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, 7840 + ... + 8240.

It is an arithmetic number, because the mean of its divisors is an integer number (153765).

Almost surely, 23224040 is an apocalyptic number.

3224040 is a gapful number since it is divisible by the number (30) 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 3224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920480).

3224040 is an abundant number, since it is smaller than the sum of its proper divisors (6616920).

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

3224040 is a wasteful number, since it uses less digits than its factorization.

3224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3224040 is about 1795.5611936105. The cubic root of 3224040 is about 147.7293568578.

Adding to 3224040 its reverse (404223), we get a palindrome (3628263).

The spelling of 3224040 in words is "three million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 401 402 536 670 802 804 1005 1203 1340 1604 1608 2005 2010 2406 2680 3208 4010 4020 4812 6015 8020 8040 9624 12030 16040 24060 26867 48120 53734 80601 107468 134335 161202 214936 268670 322404 403005 537340 644808 806010 1074680 1612020 3224040