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3065640 = 233559433
BaseRepresentation
bin1011101100011100101000
312202202021020
423230130220
51241100030
6145412440
735025504
oct13543450
95682236
103065640
111804296
12103a120
138344b6
1459b304
15408510
hex2ec728

3065640 has 64 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 801792.

The previous prime is 3065639. The next prime is 3065641. The reversal of 3065640 is 465603.

3065640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3065639) and next prime (3065641).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3065640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3065641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6864 + ... + 7296.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 23065640 is an apocalyptic number.

3065640 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 3065640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

3065640 is an abundant number, since it is smaller than the sum of its proper divisors (6308760).

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

3065640 is a wasteful number, since it uses less digits than its factorization.

3065640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3065640 is about 1750.8969130134. The cubic root of 3065640 is about 145.2692579160.

The spelling of 3065640 in words is "three million, sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 433 472 590 708 866 885 1180 1299 1416 1732 1770 2165 2360 2598 3464 3540 4330 5196 6495 7080 8660 10392 12990 17320 25547 25980 51094 51960 76641 102188 127735 153282 204376 255470 306564 383205 510940 613128 766410 1021880 1532820 3065640