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3141744 = 243293761
BaseRepresentation
bin1011111111000001110000
312220121122220
423333001300
51301013434
6151201040
735463414
oct13770160
95817586
103141744
111856491
121076180
13860028
145bad44
15420d49
hex2ff070

3141744 has 80 divisors (see below), whose sum is σ = 8764320. Its totient is φ = 967680.

The previous prime is 3141713. The next prime is 3141763. The reversal of 3141744 is 4471413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51474 + ... + 51534.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

Almost surely, 23141744 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 3141744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382160).

3141744 is an abundant number, since it is smaller than the sum of its proper divisors (5622576).

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

3141744 is a wasteful number, since it uses less digits than its factorization.

3141744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 3141744 is about 1772.4965444254. The cubic root of 3141744 is about 146.4615406117.

The spelling of 3141744 in words is "three million, one hundred forty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 61 74 87 111 116 122 148 174 183 222 232 244 296 348 366 444 464 488 592 696 732 888 976 1073 1392 1464 1769 1776 2146 2257 2928 3219 3538 4292 4514 5307 6438 6771 7076 8584 9028 10614 12876 13542 14152 17168 18056 21228 25752 27084 28304 36112 42456 51504 54168 65453 84912 108336 130906 196359 261812 392718 523624 785436 1047248 1570872 3141744