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312016680 = 23325866713
BaseRepresentation
bin10010100110001…
…111111100101000
3210202010002102100
4102212033330220
51114334013210
650543333400
710506045423
oct2246177450
9722102370
10312016680
11150141828
12885b1260
134c847571
142d6209ba
151c5d45c0
hex1298ff28

312016680 has 48 divisors (see below), whose sum is σ = 1014055380. Its totient is φ = 83204352.

The previous prime is 312016667. The next prime is 312016681. The reversal of 312016680 is 86610213.

It can be written as a sum of positive squares in 2 ways, for example, as 307581444 + 4435236 = 17538^2 + 2106^2 .

It is not an unprimeable number, because it can be changed into a prime (312016681) 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, 432997 + ... + 433716.

Almost surely, 2312016680 is an apocalyptic number.

312016680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312016680 is an abundant number, since it is smaller than the sum of its proper divisors (702038700).

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

312016680 is a wasteful number, since it uses less digits than its factorization.

312016680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866730 (or 866723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 312016680 is about 17663.9938858685. The cubic root of 312016680 is about 678.2543750128.

Adding to 312016680 its reverse (86610213), we get a palindrome (398626893).

The spelling of 312016680 in words is "three hundred twelve million, sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 866713 1733426 2600139 3466852 4333565 5200278 6933704 7800417 8667130 10400556 13000695 15600834 17334260 20801112 26001390 31201668 34668520 39002085 52002780 62403336 78004170 104005560 156008340 312016680