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3228456 = 2337111747
BaseRepresentation
bin1100010100001100101000
320002000121110
430110030220
51311302311
6153110320
736304260
oct14241450
96060543
103228456
111905650
1210b83a0
1389063a
146007a0
1543b8a6
hex314328

3228456 has 64 divisors (see below), whose sum is σ = 10068480. Its totient is φ = 838080.

The previous prime is 3228443. The next prime is 3228457. The reversal of 3228456 is 6548223.

It is a d-powerful number, because it can be written as 39 + 219 + 219 + 87 + 47 + 5 + 66 .

It is not an unprimeable number, because it can be changed into a prime (3228457) 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, 975 + ... + 2721.

It is an arithmetic number, because the mean of its divisors is an integer number (157320).

Almost surely, 23228456 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 3228456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034240).

3228456 is an abundant number, since it is smaller than the sum of its proper divisors (6840024).

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

3228456 is a wasteful number, since it uses less digits than its factorization.

3228456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1770 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 3228456 is about 1796.7904719249. The cubic root of 3228456 is about 147.7967748812.

It can be divided in two parts, 322 and 8456, that added together give a palindrome (8778).

The spelling of 3228456 in words is "three million, two hundred twenty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1747 1848 3494 5241 6988 10482 12229 13976 19217 20964 24458 36687 38434 41928 48916 57651 73374 76868 97832 115302 134519 146748 153736 230604 269038 293496 403557 461208 538076 807114 1076152 1614228 3228456