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4001361 = 371314657
BaseRepresentation
bin1111010000111001010001
321112021211120
433100321101
52011020421
6221432453
746003530
oct17207121
97467746
104001361
112293311
12140b729
13aa1390
14762317
155408c6
hex3d0e51

4001361 has 16 divisors (see below), whose sum is σ = 6566784. Its totient is φ = 2110464.

The previous prime is 4001357. The next prime is 4001369. The reversal of 4001361 is 1631004.

4001361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4001361 - 22 = 4001357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4001361.

It is not an unprimeable number, because it can be changed into a prime (4001369) 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, 7056 + ... + 7601.

It is an arithmetic number, because the mean of its divisors is an integer number (410424).

Almost surely, 24001361 is an apocalyptic number.

It is an amenable number.

4001361 is a deficient number, since it is larger than the sum of its proper divisors (2565423).

4001361 is a wasteful number, since it uses less digits than its factorization.

4001361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14680.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4001361 is about 2000.3402210624. The cubic root of 4001361 is about 158.7581069289.

Adding to 4001361 its reverse (1631004), we get a palindrome (5632365).

The spelling of 4001361 in words is "four million, one thousand, three hundred sixty-one".

Divisors: 1 3 7 13 21 39 91 273 14657 43971 102599 190541 307797 571623 1333787 4001361