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3784040 = 2351319383
BaseRepresentation
bin1110011011110101101000
321010020201122
432123311220
51432042130
6213034412
744110121
oct16336550
97106648
103784040
112155007
121325a08
13a264a0
14707048
154eb2e5
hex39bd68

3784040 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1320192.

The previous prime is 3784037. The next prime is 3784051. The reversal of 3784040 is 404873.

3784040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9689 + ... + 10071.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 23784040 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 3784040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3784040 is an abundant number, since it is smaller than the sum of its proper divisors (5892760).

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

3784040 is a wasteful number, since it uses less digits than its factorization.

3784040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3784040 is about 1945.2609079504. The cubic root of 3784040 is about 155.8302997938.

The spelling of 3784040 in words is "three million, seven hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 383 494 520 760 766 988 1235 1532 1915 1976 2470 3064 3830 4940 4979 7277 7660 9880 9958 14554 15320 19916 24895 29108 36385 39832 49790 58216 72770 94601 99580 145540 189202 199160 291080 378404 473005 756808 946010 1892020 3784040