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314132 = 22713863
BaseRepresentation
bin1001100101100010100
3120221220112
41030230110
540023012
610422152
72445560
oct1145424
9527815
10314132
111a5015
12131958
13acca0
14826a0
1563122
hex4cb14

314132 has 24 divisors (see below), whose sum is σ = 677376. Its totient is φ = 124128.

The previous prime is 314129. The next prime is 314137. The reversal of 314132 is 231413.

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

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 314132.

It is not an unprimeable number, because it can be changed into a prime (314137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2314132 is an apocalyptic number.

It is an amenable number.

314132 is an abundant number, since it is smaller than the sum of its proper divisors (363244).

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

314132 is a wasteful number, since it uses less digits than its factorization.

314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 885 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 314132 is about 560.4747987198. The cubic root of 314132 is about 67.9783668209.

Adding to 314132 its reverse (231413), we get a palindrome (545545).

It can be divided in two parts, 31413 and 2, that multiplied together give a palindrome (62826).

The spelling of 314132 in words is "three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 863 1726 3452 6041 11219 12082 22438 24164 44876 78533 157066 314132