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3641040 = 2432513389
BaseRepresentation
bin1101111000111011010000
320211222120100
431320323100
51413003130
6210012400
742643164
oct15707320
96758510
103641040
112067627
121277100
139a6380
146aaca4
154bdc60
hex378ed0

3641040 has 120 divisors (see below), whose sum is σ = 13202280. Its totient is φ = 893952.

The previous prime is 3640999. The next prime is 3641041. The reversal of 3641040 is 401463.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 3640464 = 24^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (3641041) 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, 9166 + ... + 9554.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

Almost surely, 23641040 is an apocalyptic number.

3641040 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 3641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601140).

3641040 is an abundant number, since it is smaller than the sum of its proper divisors (9561240).

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

3641040 is a wasteful number, since it uses less digits than its factorization.

3641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3641040 is about 1908.1509374261. The cubic root of 3641040 is about 153.8420824564.

The spelling of 3641040 in words is "three million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 389 390 468 520 585 624 720 778 780 936 1040 1167 1170 1556 1560 1872 1945 2334 2340 3112 3120 3501 3890 4668 4680 5057 5835 6224 7002 7780 9336 9360 10114 11670 14004 15171 15560 17505 18672 20228 23340 25285 28008 30342 31120 35010 40456 45513 46680 50570 56016 60684 70020 75855 80912 91026 93360 101140 121368 140040 151710 182052 202280 227565 242736 280080 303420 364104 404560 455130 606840 728208 910260 1213680 1820520 3641040