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505314 = 23267419
BaseRepresentation
bin1111011010111100010
3221200011100
41323113202
5112132224
614455230
74203135
oct1732742
9850140
10505314
11315717
12204516
13149004
14d221c
159eac9
hex7b5e2

505314 has 24 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 165528.

The previous prime is 505313. The next prime is 505319. The reversal of 505314 is 413505.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505314.

It is not an unprimeable number, because it can be changed into a prime (505313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (46410).

2505314 is an apocalyptic number.

505314 is an abundant number, since it is smaller than the sum of its proper divisors (608526).

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

505314 is a wasteful number, since it uses less digits than its factorization.

505314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 505314 is about 710.8544154748. The cubic root of 505314 is about 79.6502439455.

Adding to 505314 its reverse (413505), we get a palindrome (918819).

Subtracting from 505314 its reverse (413505), we obtain a square (91809 = 3032).

The spelling of 505314 in words is "five hundred five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 67 134 201 402 419 603 838 1206 1257 2514 3771 7542 28073 56146 84219 168438 252657 505314