Search a number
-
+
2340387 = 33722961
BaseRepresentation
bin1000111011011000100011
311101220102000
420323120203
51044343022
6122055043
725615200
oct10733043
94356360
102340387
111359405
1294a483
1363c35a
1444cca7
153136ac
hex23b623

2340387 has 48 divisors (see below), whose sum is σ = 4240800. Its totient is φ = 1270080.

The previous prime is 2340383. The next prime is 2340397. The reversal of 2340387 is 7830432.

2340387 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2340387 - 22 = 2340383 is a prime.

It is a super-2 number, since 2×23403872 = 10954822619538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 34 + 48 + 0 + 311 + 87 + 73 .

2340387 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2340387.

It is not an unprimeable number, because it can be changed into a prime (2340383) 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 47 ways as a sum of consecutive naturals, for example, 38337 + ... + 38397.

It is an arithmetic number, because the mean of its divisors is an integer number (88350).

22340387 is an apocalyptic number.

2340387 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2340387 is a deficient number, since it is larger than the sum of its proper divisors (1900413).

2340387 is a wasteful number, since it uses less digits than its factorization.

2340387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2340387 is about 1529.8323437554. The cubic root of 2340387 is about 132.7687579226.

The spelling of 2340387 in words is "two million, three hundred forty thousand, three hundred eighty-seven".

Divisors: 1 3 7 9 21 27 29 49 61 63 87 147 183 189 203 261 427 441 549 609 783 1281 1323 1421 1647 1769 1827 2989 3843 4263 5307 5481 8967 11529 12383 12789 15921 26901 37149 38367 47763 80703 86681 111447 260043 334341 780129 2340387