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312414 = 2352069
BaseRepresentation
bin1001100010001011110
3120212112220
41030101132
534444124
610410210
72440554
oct1142136
9525486
10312414
111a37a3
12130966
13ac27b
1481bd4
1562879
hex4c45e

312414 has 8 divisors (see below), whose sum is σ = 624840. Its totient is φ = 104136.

The previous prime is 312413. The next prime is 312427. The reversal of 312414 is 414213.

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

312414 is an admirable number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312393 and 312402.

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 312414.

It is not an unprimeable number, because it can be changed into a prime (312413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26029 + ... + 26040.

It is an arithmetic number, because the mean of its divisors is an integer number (78105).

2312414 is an apocalyptic number.

312414 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

312414 is a wasteful number, since it uses less digits than its factorization.

312414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52074.

The product of its digits is 96, while the sum is 15.

The square root of 312414 is about 558.9400683436. The cubic root of 312414 is about 67.8542147793.

Adding to 312414 its reverse (414213), we get a palindrome (726627).

The spelling of 312414 in words is "three hundred twelve thousand, four hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 52069 104138 156207 312414