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4016340 = 2232553421
BaseRepresentation
bin1111010100100011010100
321120001101100
433110203110
52012010330
6222030100
746065306
oct17244324
97501340
104016340
1122a3599
121418330
13aa8143
14767976
15545060
hex3d48d4

4016340 has 72 divisors (see below), whose sum is σ = 12442248. Its totient is φ = 1048320.

The previous prime is 4016339. The next prime is 4016347. The reversal of 4016340 is 436104.

4016340 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 24336 + 3992004 = 156^2 + 1998^2 .

It is a super-2 number, since 2×40163402 = 32261973991200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016347) 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 23 ways as a sum of consecutive naturals, for example, 9330 + ... + 9750.

It is an arithmetic number, because the mean of its divisors is an integer number (172809).

Almost surely, 24016340 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 4016340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221124).

4016340 is an abundant number, since it is smaller than the sum of its proper divisors (8425908).

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

4016340 is a wasteful number, since it uses less digits than its factorization.

4016340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4016340 is about 2004.0808366930. The cubic root of 4016340 is about 158.9559626471.

It can be divided in two parts, 4016 and 340, that added together give a square (4356 = 662).

The spelling of 4016340 in words is "four million, sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 421 477 530 636 795 842 954 1060 1263 1590 1684 1908 2105 2385 2526 3180 3789 4210 4770 5052 6315 7578 8420 9540 12630 15156 18945 22313 25260 37890 44626 66939 75780 89252 111565 133878 200817 223130 267756 334695 401634 446260 669390 803268 1004085 1338780 2008170 4016340