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2378971 = 71931577
BaseRepresentation
bin1001000100110011011011
311110212100001
421010303123
51102111341
6122553431
726135530
oct11046333
94425301
102378971
1113853a1
12968877
13653a9a
1445cd87
1531ed31
hex244cdb

2378971 has 16 divisors (see below), whose sum is σ = 2959360. Its totient is φ = 1866240.

The previous prime is 2378953. The next prime is 2378977. The reversal of 2378971 is 1798732.

2378971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 9-Lehmer number, since φ(2378971) divides (2378971-1)9.

It is a cyclic number.

It is not a de Polignac number, because 2378971 - 27 = 2378843 is a prime.

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 2378971.

It is not an unprimeable number, because it can be changed into a prime (2378977) 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, 3835 + ... + 4411.

It is an arithmetic number, because the mean of its divisors is an integer number (184960).

22378971 is an apocalyptic number.

2378971 is the 891-st hex number.

2378971 is a deficient number, since it is larger than the sum of its proper divisors (580389).

2378971 is a wasteful number, since it uses less digits than its factorization.

2378971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634.

The product of its digits is 21168, while the sum is 37.

The square root of 2378971 is about 1542.3913251831. The cubic root of 2378971 is about 133.4944004908.

The spelling of 2378971 in words is "two million, three hundred seventy-eight thousand, nine hundred seventy-one".

Divisors: 1 7 19 31 133 217 577 589 4039 4123 10963 17887 76741 125209 339853 2378971