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2406401 = 17353401
BaseRepresentation
bin1001001011100000000001
311112020221222
421023200001
51104001101
6123324425
726311514
oct11134001
94466858
102406401
1113a3a68
12980715
1366340a
14468d7b
1532801b
hex24b801

2406401 has 8 divisors (see below), whose sum is σ = 2561544. Its totient is φ = 2252800.

The previous prime is 2406379. The next prime is 2406457. The reversal of 2406401 is 1046042.

It can be written as a sum of positive squares in 4 ways, for example, as 1324801 + 1081600 = 1151^2 + 1040^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2406401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a deceptive number, since it divides R2406400.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2406401.

It is not an unprimeable number, because it can be changed into a prime (2406461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5801 + ... + 6201.

It is an arithmetic number, because the mean of its divisors is an integer number (320193).

It is a Proth number, since it is equal to 1175 ⋅ 211 + 1 and 1175 < 211.

22406401 is an apocalyptic number.

It is an amenable number.

2406401 is a deficient number, since it is larger than the sum of its proper divisors (155143).

2406401 is a wasteful number, since it uses less digits than its factorization.

2406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2406401 is about 1551.2578766923. The cubic root of 2406401 is about 134.0055132506.

The spelling of 2406401 in words is "two million, four hundred six thousand, four hundred one".

Divisors: 1 17 353 401 6001 6817 141553 2406401