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3441000 = 233533137
BaseRepresentation
bin1101001000000101101000
320110211011110
431020011220
51340103000
6201430320
741151033
oct15100550
96424143
103441000
111a40302
12119b3a0
139362c4
1465801a
1547e850
hex348168

3441000 has 128 divisors (see below), whose sum is σ = 11381760. Its totient is φ = 864000.

The previous prime is 3440993. The next prime is 3441017. The reversal of 3441000 is 1443.

Adding to 3441000 its reverse (1443), we get a palindrome (3442443).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92982 + ... + 93018.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

Almost surely, 23441000 is an apocalyptic number.

3441000 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 3441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690880).

3441000 is an abundant number, since it is smaller than the sum of its proper divisors (7940760).

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

3441000 is a wasteful number, since it uses less digits than its factorization.

3441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3441000 is about 1854.9932614433. The cubic root of 3441000 is about 150.9714724700.

The spelling of 3441000 in words is "three million, four hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 37 40 50 60 62 74 75 93 100 111 120 124 125 148 150 155 185 186 200 222 248 250 296 300 310 370 372 375 444 465 500 555 600 620 740 744 750 775 888 925 930 1000 1110 1147 1240 1480 1500 1550 1850 1860 2220 2294 2325 2775 3000 3100 3441 3700 3720 3875 4440 4588 4625 4650 5550 5735 6200 6882 7400 7750 9176 9250 9300 11100 11470 11625 13764 13875 15500 17205 18500 18600 22200 22940 23250 27528 27750 28675 31000 34410 37000 45880 46500 55500 57350 68820 86025 93000 111000 114700 137640 143375 172050 229400 286750 344100 430125 573500 688200 860250 1147000 1720500 3441000