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2830401 = 32744927
BaseRepresentation
bin1010110011000001000001
312022210120200
422303001001
51211033101
6140355413
733025620
oct12630101
95283520
102830401
111663582
12b45b69
137813c2
145396b7
153ad986
hex2b3041

2830401 has 12 divisors (see below), whose sum is σ = 4672512. Its totient is φ = 1617336.

The previous prime is 2830397. The next prime is 2830433. The reversal of 2830401 is 1040382.

It is a happy number.

It is not a de Polignac number, because 2830401 - 22 = 2830397 is a prime.

It is a super-2 number, since 2×28304012 = 16022339641602, which contains 22 as substring.

2830401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2830301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22401 + ... + 22526.

It is an arithmetic number, because the mean of its divisors is an integer number (389376).

22830401 is an apocalyptic number.

2830401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2830401 is a deficient number, since it is larger than the sum of its proper divisors (1842111).

2830401 is a wasteful number, since it uses less digits than its factorization.

2830401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44940 (or 44937 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2830401 is about 1682.3795647832. The cubic root of 2830401 is about 141.4542465083.

Adding to 2830401 its reverse (1040382), we get a palindrome (3870783).

The spelling of 2830401 in words is "two million, eight hundred thirty thousand, four hundred one".

Divisors: 1 3 7 9 21 63 44927 134781 314489 404343 943467 2830401