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3990312 = 2332157353
BaseRepresentation
bin1111001110001100101000
321111201200100
433032030220
52010142222
6221305400
745626364
oct17161450
97451610
103990312
112285a87
121405260
13a99341
1475c2a4
1553c4ac
hex3ce328

3990312 has 48 divisors (see below), whose sum is σ = 10906740. Its totient is φ = 1317888.

The previous prime is 3990307. The next prime is 3990331. The reversal of 3990312 is 2130993.

3990312 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 2 ways, for example, as 3896676 + 93636 = 1974^2 + 306^2 .

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 11 ways as a sum of consecutive naturals, for example, 11128 + ... + 11480.

Almost surely, 23990312 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 3990312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453370).

3990312 is an abundant number, since it is smaller than the sum of its proper divisors (6916428).

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

3990312 is a wasteful number, since it uses less digits than its factorization.

3990312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3990312 is about 1997.5765317004. The cubic root of 3990312 is about 158.6118454144.

The spelling of 3990312 in words is "three million, nine hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 353 471 628 706 942 1059 1256 1412 1413 1884 2118 2824 2826 3177 3768 4236 5652 6354 8472 11304 12708 25416 55421 110842 166263 221684 332526 443368 498789 665052 997578 1330104 1995156 3990312