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3829040 = 245232081
BaseRepresentation
bin1110100110110100110000
321012112110022
432212310300
51440012130
6214023012
744355245
oct16466460
97175408
103829040
1121858a6
121347a68
13a40b07
147195cc
155097e5
hex3a6d30

3829040 has 40 divisors (see below), whose sum is σ = 9294048. Its totient is φ = 1464320.

The previous prime is 3828973. The next prime is 3829079. The reversal of 3829040 is 409283.

3829040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

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 7 ways as a sum of consecutive naturals, for example, 800 + ... + 2880.

Almost surely, 23829040 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 3829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647024).

3829040 is an abundant number, since it is smaller than the sum of its proper divisors (5465008).

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

3829040 is a wasteful number, since it uses less digits than its factorization.

3829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2111 counting only the distinct ones).

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

The square root of 3829040 is about 1956.7932951643. The cubic root of 3829040 is about 156.4455812183.

The spelling of 3829040 in words is "three million, eight hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2081 4162 8324 10405 16648 20810 33296 41620 47863 83240 95726 166480 191452 239315 382904 478630 765808 957260 1914520 3829040