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2358401 is a prime number
BaseRepresentation
bin1000111111110010000001
311102211010012
420333302001
51100432101
6122314305
726021543
oct10776201
94384105
102358401
1113709a1
12958995
13647606
14455693
15318bbb
hex23fc81

2358401 has 2 divisors, whose sum is σ = 2358402. Its totient is φ = 2358400.

The previous prime is 2358379. The next prime is 2358403. The reversal of 2358401 is 1048532.

2358401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2027776 + 330625 = 1424^2 + 575^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2358401 is a prime.

Together with 2358403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2358403) 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 as a sum of consecutive naturals, namely, 1179200 + 1179201.

It is an arithmetic number, because the mean of its divisors is an integer number (1179201).

22358401 is an apocalyptic number.

It is an amenable number.

2358401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2358401 is an equidigital number, since it uses as much as digits as its factorization.

2358401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2358401 is about 1535.7086312188. The cubic root of 2358401 is about 133.1085288239.

The spelling of 2358401 in words is "two million, three hundred fifty-eight thousand, four hundred one".