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3964040 = 235113877
BaseRepresentation
bin1111000111110010001000
321110101122022
433013302020
52003322130
6220544012
745456653
oct17076210
97411568
103964040
112268273
1213b2008
13a8a3b2
1475289a
155347e5
hex3c7c88

3964040 has 32 divisors (see below), whose sum is σ = 9008280. Its totient is φ = 1569792.

The previous prime is 3964031. The next prime is 3964061. The reversal of 3964040 is 404693.

3964040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2696164 + 1267876 = 1642^2 + 1126^2 .

It is a super-2 number, since 2×39640402 = 31427226243200, which contains 22 as substring.

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, 4082 + ... + 4958.

Almost surely, 23964040 is an apocalyptic number.

It is an amenable number.

3964040 is an abundant number, since it is smaller than the sum of its proper divisors (5044240).

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

3964040 is a wasteful number, since it uses less digits than its factorization.

3964040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3964040 is about 1990.9897036399. The cubic root of 3964040 is about 158.2629813645.

The spelling of 3964040 in words is "three million, nine hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 877 904 1130 1754 2260 3508 4385 4520 7016 8770 17540 35080 99101 198202 396404 495505 792808 991010 1982020 3964040