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431316 = 223211981
BaseRepresentation
bin1101001010011010100
3210220122200
41221103110
5102300231
613124500
73444324
oct1512324
9726580
10431316
11275066
12189730
13121422
14b3284
1587be6
hex694d4

431316 has 18 divisors (see below), whose sum is σ = 1090362. Its totient is φ = 143760.

The previous prime is 431311. The next prime is 431329. The reversal of 431316 is 613134.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 3600 = 654^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431311) by changing a digit.

431316 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 5 ways as a sum of consecutive naturals, for example, 5955 + ... + 6026.

2431316 is an apocalyptic number.

It is an amenable number.

431316 is an abundant number, since it is smaller than the sum of its proper divisors (659046).

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

431316 is a wasteful number, since it uses less digits than its factorization.

431316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11986 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 431316 is about 656.7465264468. The cubic root of 431316 is about 75.5553444182. Note that the first 3 decimals are identical.

It can be divided in two parts, 431 and 316, that added together give a palindrome (747).

The spelling of 431316 in words is "four hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 11981 23962 35943 47924 71886 107829 143772 215658 431316