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3144456 = 2332717367
BaseRepresentation
bin1011111111101100001000
312220202101100
423333230020
51301110311
6151221400
735504340
oct13775410
95822340
103144456
111858527
121077860
13861333
145bbd20
15421a56
hex2ffb08

3144456 has 96 divisors (see below), whose sum is σ = 10333440. Its totient is φ = 843264.

The previous prime is 3144431. The next prime is 3144457. The reversal of 3144456 is 6544413.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3144457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8385 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (107640).

Almost surely, 23144456 is an apocalyptic number.

3144456 is a gapful number since it is divisible by the number (36) 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 3144456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166720).

3144456 is an abundant number, since it is smaller than the sum of its proper divisors (7188984).

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

3144456 is a wasteful number, since it uses less digits than its factorization.

3144456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3144456 is about 1773.2614020499. The cubic root of 3144456 is about 146.5036710826.

Adding to 3144456 its reverse (6544413), we get a palindrome (9688869).

It can be divided in two parts, 3144 and 456, that added together give a square (3600 = 602).

The spelling of 3144456 in words is "three million, one hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 367 408 476 504 612 714 734 952 1071 1101 1224 1428 1468 2142 2202 2569 2856 2936 3303 4284 4404 5138 6239 6606 7707 8568 8808 10276 12478 13212 15414 18717 20552 23121 24956 26424 30828 37434 43673 46242 49912 56151 61656 74868 87346 92484 112302 131019 149736 174692 184968 224604 262038 349384 393057 449208 524076 786114 1048152 1572228 3144456