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3025440 = 2532511191
BaseRepresentation
bin1011100010101000100000
312200201010100
423202220200
51233303230
6144502400
734500345
oct13425040
95621110
103025440
111787070
12101aa00
1381c102
1458a7cc
153eb660
hex2e2a20

3025440 has 144 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 729600.

The previous prime is 3025423. The next prime is 3025459. The reversal of 3025440 is 445203.

3025440 = 2072 + 2082 + ... + 2612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15745 + ... + 15935.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

Almost surely, 23025440 is an apocalyptic number.

3025440 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 3025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3025440 is an abundant number, since it is smaller than the sum of its proper divisors (8296416).

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

3025440 is a wasteful number, since it uses less digits than its factorization.

3025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3025440 is about 1739.3791995997. The cubic root of 3025440 is about 144.6314859439.

It can be divided in two parts, 3025 and 440, that multiplied together give a cube (1331000 = 1103).

The spelling of 3025440 in words is "three million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 191 198 220 240 264 288 330 352 360 382 396 440 480 495 528 573 660 720 764 792 880 955 990 1056 1146 1320 1440 1528 1584 1719 1760 1910 1980 2101 2292 2640 2865 3056 3168 3438 3820 3960 4202 4584 5280 5730 6112 6303 6876 7640 7920 8404 8595 9168 10505 11460 12606 13752 15280 15840 16808 17190 18336 18909 21010 22920 25212 27504 30560 31515 33616 34380 37818 42020 45840 50424 55008 63030 67232 68760 75636 84040 91680 94545 100848 126060 137520 151272 168080 189090 201696 252120 275040 302544 336160 378180 504240 605088 756360 1008480 1512720 3025440