Search a number
-
+
3991328 = 2511172329
BaseRepresentation
bin1111001110011100100000
321111210001222
433032130200
52010210303
6221314212
745632345
oct17163440
97453058
103991328
112286820
121405968
13a99943
1475c7cc
1553c938
hex3ce720

3991328 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 1576960.

The previous prime is 3991321. The next prime is 3991331. The reversal of 3991328 is 8231993.

3991328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3991321) 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 15 ways as a sum of consecutive naturals, for example, 137618 + ... + 137646.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 23991328 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 3991328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3991328 is an abundant number, since it is smaller than the sum of its proper divisors (5806432).

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

3991328 is a wasteful number, since it uses less digits than its factorization.

3991328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 3991328 is about 1997.8308236685. The cubic root of 3991328 is about 158.6253060126.

The spelling of 3991328 in words is "three million, nine hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 23 29 32 34 44 46 58 68 88 92 116 136 176 184 187 232 253 272 319 352 368 374 391 464 493 506 544 638 667 736 748 782 928 986 1012 1276 1334 1496 1564 1972 2024 2552 2668 2992 3128 3944 4048 4301 5104 5336 5423 5984 6256 7337 7888 8096 8602 10208 10672 10846 11339 12512 14674 15776 17204 21344 21692 22678 29348 34408 43384 45356 58696 68816 86768 90712 117392 124729 137632 173536 181424 234784 249458 362848 498916 997832 1995664 3991328