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3105144 = 2332761101
BaseRepresentation
bin1011110110000101111000
312211202110100
423312011320
51243331034
6150315400
735251620
oct13660570
95752410
103105144
111830a39
121058b60
13849483
145ab880
15415099
hex2f6178

3105144 has 96 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 864000.

The previous prime is 3105143. The next prime is 3105163. The reversal of 3105144 is 4415013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30694 + ... + 30794.

It is an arithmetic number, because the mean of its divisors is an integer number (102765).

Almost surely, 23105144 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 3105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

3105144 is an abundant number, since it is smaller than the sum of its proper divisors (6760296).

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

3105144 is a wasteful number, since it uses less digits than its factorization.

3105144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3105144 is about 1762.1418785104. The cubic root of 3105144 is about 145.8905791764.

It can be divided in two parts, 3105 and 144, that added together give a square (3249 = 572).

The spelling of 3105144 in words is "three million, one hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 101 122 126 168 183 202 244 252 303 366 404 427 488 504 549 606 707 732 808 854 909 1098 1212 1281 1414 1464 1708 1818 2121 2196 2424 2562 2828 3416 3636 3843 4242 4392 5124 5656 6161 6363 7272 7686 8484 10248 12322 12726 15372 16968 18483 24644 25452 30744 36966 43127 49288 50904 55449 73932 86254 110898 129381 147864 172508 221796 258762 345016 388143 443592 517524 776286 1035048 1552572 3105144