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3940288 = 261129193
BaseRepresentation
bin1111000001111111000000
321102012001121
433001333000
52002042123
6220242024
745330502
oct17017700
97365047
103940288
112251440
1213a0314
13a7c641
14747d72
1552c75d
hex3c1fc0

3940288 has 56 divisors (see below), whose sum is σ = 8869680. Its totient is φ = 1720320.

The previous prime is 3940273. The next prime is 3940289. The reversal of 3940288 is 8820493.

3940288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940289) 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 7 ways as a sum of consecutive naturals, for example, 20320 + ... + 20512.

Almost surely, 23940288 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 3940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434840).

3940288 is an abundant number, since it is smaller than the sum of its proper divisors (4929392).

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

3940288 is a wasteful number, since it uses less digits than its factorization.

3940288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3940288 is about 1985.0158689542. The cubic root of 3940288 is about 157.9462510120.

The spelling of 3940288 in words is "three million, nine hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 193 232 319 352 386 464 638 704 772 928 1276 1544 1856 2123 2552 3088 4246 5104 5597 6176 8492 10208 11194 12352 16984 20416 22388 33968 44776 61567 67936 89552 123134 135872 179104 246268 358208 492536 985072 1970144 3940288