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2380407 = 32927361
BaseRepresentation
bin1001000101001001110111
311110221022020
421011021313
51102133112
6123004223
726142651
oct11051167
94427266
102380407
111386487
12969673
13654633
1445d6d1
1532048c
hex245277

2380407 has 8 divisors (see below), whose sum is σ = 3283440. Its totient is φ = 1532160.

The previous prime is 2380393. The next prime is 2380421. The reversal of 2380407 is 7040832.

2380407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2380393) and next prime (2380421).

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

It is not a de Polignac number, because 2380407 - 210 = 2379383 is a prime.

2380407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380447) 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 7 ways as a sum of consecutive naturals, for example, 13594 + ... + 13767.

It is an arithmetic number, because the mean of its divisors is an integer number (410430).

22380407 is an apocalyptic number.

2380407 is a deficient number, since it is larger than the sum of its proper divisors (903033).

2380407 is a wasteful number, since it uses less digits than its factorization.

2380407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27393.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2380407 is about 1542.8567658730. The cubic root of 2380407 is about 133.5212551549.

The spelling of 2380407 in words is "two million, three hundred eighty thousand, four hundred seven".

Divisors: 1 3 29 87 27361 82083 793469 2380407