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214340 = 22571531
BaseRepresentation
bin110100010101000100
3101220000112
4310111010
523324330
64332152
71551620
oct642504
9356015
10214340
11137045
12a4058
1376739
1458180
1543795
hex34544

214340 has 24 divisors (see below), whose sum is σ = 514752. Its totient is φ = 73440.

The previous prime is 214309. The next prime is 214351. The reversal of 214340 is 43412.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (21448).

2214340 is an apocalyptic number.

214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214340 is an abundant number, since it is smaller than the sum of its proper divisors (300412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214340 is a wasteful number, since it uses less digits than its factorization.

214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 214340 is about 462.9686814462. The cubic root of 214340 is about 59.8459008594.

Adding to 214340 its reverse (43412), we get a palindrome (257752).

It can be divided in two parts, 2 and 14340, that multiplied together give a triangular number (28680 = T239).

The spelling of 214340 in words is "two hundred fourteen thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1531 3062 6124 7655 10717 15310 21434 30620 42868 53585 107170 214340