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3029840 = 245112313
BaseRepresentation
bin1011100011101101010000
312200221011022
423203231100
51233423330
6144535012
734516232
oct13435520
95627138
103029840
11178a400
121021468
13821108
1458c252
153ecae5
hex2e3b50

3029840 has 60 divisors (see below), whose sum is σ = 7767732. Its totient is φ = 1098240.

The previous prime is 3029837. The next prime is 3029843. The reversal of 3029840 is 489203.

3029840 = T23 + T24 + ... + T262.

3029840 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 (3029837) and next prime (3029843).

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 2650384 = 616^2 + 1628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029843) 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 11 ways as a sum of consecutive naturals, for example, 9524 + ... + 9836.

Almost surely, 23029840 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 3029840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883866).

3029840 is an abundant number, since it is smaller than the sum of its proper divisors (4737892).

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

3029840 is a wasteful number, since it uses less digits than its factorization.

3029840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3029840 is about 1740.6435591470. The cubic root of 3029840 is about 144.7015661399.

The spelling of 3029840 in words is "three million, twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 313 440 484 605 626 880 968 1210 1252 1565 1936 2420 2504 3130 3443 4840 5008 6260 6886 9680 12520 13772 17215 25040 27544 34430 37873 55088 68860 75746 137720 151492 189365 275440 302984 378730 605968 757460 1514920 3029840