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303414 = 2361829

303414 has 16 divisors (see below), whose sum is σ = 617520. Its totient is φ = 99360.

The previous prime is 303409. The next prime is 303421. The reversal of 303414 is 414303.

303414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 303393 and 303402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303414.

It is an unprimeable number.

303414 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (38595).

2303414 is an apocalyptic number.

303414 is an abundant number, since it is smaller than the sum of its proper divisors (314106).

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

303414 is a wasteful number, since it uses less digits than its factorization.

303414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 303414 is about 550.8302823920. The cubic root of 303414 is about 67.1962760125.

Adding to 303414 its reverse (414303), we get a palindrome (717717).

Subtracting 303414 from its reverse (414303), we obtain a square (110889 = 3332).

It can be divided in two parts, 303 and 414, that added together give a palindrome (717).

The spelling of 303414 in words is "three hundred three thousand, four hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 61 122 183 366 829 1658 2487 4974 50569 101138 151707 303414