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3824040 = 2335112897
BaseRepresentation
bin1110100101100110101000
321012021121010
432211212220
51434332130
6213543520
744334543
oct16454650
97167533
103824040
112182070
121344ba0
13a3b75c
1471785a
155080b0
hex3a59a8

3824040 has 64 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 926720.

The previous prime is 3824017. The next prime is 3824053. The reversal of 3824040 is 404283.

It is a happy number.

3824040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3823998 and 3824016.

It is an unprimeable number.

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, 129 + ... + 2768.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

Almost surely, 23824040 is an apocalyptic number.

3824040 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 3824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

3824040 is an abundant number, since it is smaller than the sum of its proper divisors (8695320).

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

3824040 is a wasteful number, since it uses less digits than its factorization.

3824040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3824040 is about 1955.5152773630. The cubic root of 3824040 is about 156.3774554711.

The spelling of 3824040 in words is "three million, eight hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2897 5794 8691 11588 14485 17382 23176 28970 31867 34764 43455 57940 63734 69528 86910 95601 115880 127468 159335 173820 191202 254936 318670 347640 382404 478005 637340 764808 956010 1274680 1912020 3824040