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312852 = 22329231
BaseRepresentation
bin1001100011000010100
3120220011010
41030120110
540002402
610412220
72442051
oct1143024
9526133
10312852
111a4061
12131070
13ac527
1482028
1562a6c
hex4c614

312852 has 36 divisors (see below), whose sum is σ = 780416. Its totient is φ = 97440.

The previous prime is 312841. The next prime is 312857. The reversal of 312852 is 258213.

312852 is nontrivially palindromic in base 14.

Its product of digits (480) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312857) by changing a digit.

312852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10077 + ... + 10107.

2312852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390208).

312852 is an abundant number, since it is smaller than the sum of its proper divisors (467564).

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

312852 is a wasteful number, since it uses less digits than its factorization.

312852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 312852 is about 559.3317441376. The cubic root of 312852 is about 67.8859101876.

The spelling of 312852 in words is "three hundred twelve thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 841 899 1682 1798 2523 2697 3364 3596 5046 5394 10092 10788 26071 52142 78213 104284 156426 312852