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312812276 = 22721924421
BaseRepresentation
bin10010101001010…
…010001011110100
3210210121111202212
4102221102023310
51120034443101
651012352552
710515601100
oct2251221364
9723544685
10312812276
11150635547
1288915758
134ca6572a
142d78a900
151c6e01bb
hex12a522f4

312812276 has 54 divisors (see below), whose sum is σ = 672228018. Its totient is φ = 126977760.

The previous prime is 312812273. The next prime is 312812287. The reversal of 312812276 is 672218213.

It can be written as a sum of positive squares in only one way, i.e., 298944100 + 13868176 = 17290^2 + 3724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312812273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68546 + ... + 72966.

It is an arithmetic number, because the mean of its divisors is an integer number (12448667).

Almost surely, 2312812276 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 312812276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336114009).

312812276 is an abundant number, since it is smaller than the sum of its proper divisors (359415742).

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

312812276 is a wasteful number, since it uses less digits than its factorization.

312812276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4449 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 312812276 is about 17686.4998233116. The cubic root of 312812276 is about 678.8303682249.

The spelling of 312812276 in words is "three hundred twelve million, eight hundred twelve thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 3724 4421 5054 8842 10108 17684 17689 30947 35378 61894 70756 83999 123788 167998 216629 335996 433258 587993 866516 1175986 1595981 2351972 3191962 4115951 6383924 8231902 11171867 16463804 22343734 44687468 78203069 156406138 312812276